Barsotti Symposium In Algebraic Geometry

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Barsotti Symposium in Algebraic Geometry

Valentino Cristante,William Messing
Barsotti Symposium in Algebraic Geometry Book PDF

Author : Valentino Cristante,William Messing
Publisher : Academic Press
Page : 306 pages
File Size : 48,7 Mb
Release : 2014-07-21
Category : Mathematics
ISBN : 9781483217628

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Barsotti Symposium in Algebraic Geometry by Valentino Cristante,William Messing Pdf

Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti. This text reflects Barsotti’s significant contributions in the field. This book is composed of 10 chapters and begins with a review of the centers of three-dimensional skylanin algebras. The succeeding chapters deal with the theoretical aspects of the Abelian varieties, Witt realization of p-Adic Barsotti-Tate Groups, and hypergeometric series and functions. These topics are followed by discussions of logarithmic spaces and the estimates for and inequalities among A-numbers. The closing chapter describes the moduli of Abelian varieties in positive characteristic. This book will be of value to mathematicians.

Proceedings of the Symposium on Algebraic Geometry in East Asia

Akira Ohbuchi
Proceedings of the Symposium on Algebraic Geometry in East Asia Book PDF

Author : Akira Ohbuchi
Publisher : World Scientific
Page : 280 pages
File Size : 44,6 Mb
Release : 2003-01-17
Category : Mathematics
ISBN : 9812705104

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Proceedings of the Symposium on Algebraic Geometry in East Asia by Akira Ohbuchi Pdf

This book is the proceedings of the conference OC Algebraic Geometry in East AsiaOCO which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry."

Algebraic Geometry in East Asia

Akira Ohbuchi,Kazuhiro Konno,Sampei Usui,Atsushi Moriwaki,Noboru Nakayama
Algebraic Geometry in East Asia Book PDF

Author : Akira Ohbuchi,Kazuhiro Konno,Sampei Usui,Atsushi Moriwaki,Noboru Nakayama
Publisher : World Scientific
Page : 272 pages
File Size : 49,8 Mb
Release : 2003-01-17
Category : Mathematics
ISBN : 9789814486736

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Algebraic Geometry in East Asia by Akira Ohbuchi,Kazuhiro Konno,Sampei Usui,Atsushi Moriwaki,Noboru Nakayama Pdf

This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001. As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry. Contents:Introduction to Arakelov Geometry (S Kawaguchi et al.)Double Covering of Smooth Algebraic Curves (C Keem)Algebraic Surfaces with Quotient Singularities — Including Some Discussion on Automorphisms and Fundamental Groups (J Keum & D-Q Zhang)Linear Series of Irregular Varieties (J A Chen & C D Hacon)Hecke Curves on the Moduli Space of Vector Bundles (J-M Hwang)Minimal Resolution via Gröbner Basis (Y Ito)Deformation Theory of Smoothable Semi Log Canonical Surfaces (Y Lee)Modular Curves and Some Related Issues (V NguyenKhac)On the Asymptotic Behavior of Admissible Variations of Mixed Hodge Structure (G Pearlstein)Degeneration of SL(n)-Bundles on a Reducible Curve (X-T Sun)Refined Brill–Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves (L Weng) Readership: Graduate students, academics and researchers in algebra & number theory and geometry & topology. Keywords:Algebraic Geometry;East Asia;Arakelov Theory;Curve Theory;Surface Theory

Handbook of Algebra

M. Hazewinkel
Handbook of Algebra Book PDF

Author : M. Hazewinkel
Publisher : Elsevier
Page : 592 pages
File Size : 44,6 Mb
Release : 2009-07-08
Category : Mathematics
ISBN : 0080932819

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Handbook of Algebra by M. Hazewinkel Pdf

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

Algebraic Geometry

Richard Thomas
Algebraic Geometry Book PDF

Author : Richard Thomas
Publisher : American Mathematical Soc.
Page : 635 pages
File Size : 47,8 Mb
Release : 2018-06-01
Category : Geometry, Algebraic
ISBN : 9781470435783

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Algebraic Geometry by Richard Thomas Pdf

This is Part 2 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.

Galois Representations in Arithmetic Algebraic Geometry

A. J. Scholl,Richard Lawrence Taylor
Galois Representations in Arithmetic Algebraic Geometry Book PDF

Author : A. J. Scholl,Richard Lawrence Taylor
Publisher : Cambridge University Press
Page : 506 pages
File Size : 44,7 Mb
Release : 1998-11-26
Category : Mathematics
ISBN : 9780521644198

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Galois Representations in Arithmetic Algebraic Geometry by A. J. Scholl,Richard Lawrence Taylor Pdf

Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.

Positivity in Algebraic Geometry II

R.K. Lazarsfeld
Positivity in Algebraic Geometry II Book PDF

Author : R.K. Lazarsfeld
Publisher : Springer
Page : 385 pages
File Size : 55,7 Mb
Release : 2017-07-25
Category : Mathematics
ISBN : 9783642188107

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Positivity in Algebraic Geometry II by R.K. Lazarsfeld Pdf

Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments

What Determines an Algebraic Variety?

János Kollár,Max Lieblich,Martin Olsson,Will Sawin
What Determines an Algebraic Variety Book PDF

Author : János Kollár,Max Lieblich,Martin Olsson,Will Sawin
Publisher : Princeton University Press
Page : 240 pages
File Size : 41,9 Mb
Release : 2023-07-25
Category : Mathematics
ISBN : 9780691246819

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What Determines an Algebraic Variety? by János Kollár,Max Lieblich,Martin Olsson,Will Sawin Pdf

"In this monograph, the authors approach a rarely considered question in the field of algebraic geometry: to what extent is an algebraic variety X determined by the underlying Zariski topological space ]X]? Before this work, it was believed that the Zariski topology could give only coarse information about X. Using three reconstruction theorems, the authors prove -- astoundingly -- that the variety X is entirely determined by the Zariski topology when the dimension is at least two. It offers both new techniques, as this question had not been previously studied in depth, and future paths for application and inquiry"--

Complex Geometry and Dynamics

John Erik Fornæss,Marius Irgens,Erlend Fornæss Wold
Complex Geometry and Dynamics Book PDF

Author : John Erik Fornæss,Marius Irgens,Erlend Fornæss Wold
Publisher : Springer
Page : 309 pages
File Size : 45,7 Mb
Release : 2015-11-05
Category : Mathematics
ISBN : 9783319203379

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Complex Geometry and Dynamics by John Erik Fornæss,Marius Irgens,Erlend Fornæss Wold Pdf

This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields. This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5, 2013. The purpose of the symposium was to present the state of the art on the topics, and to discuss future research directions.

Algebraic Geometry

Dan Abramovich
Algebraic Geometry Book PDF

Author : Dan Abramovich
Publisher : American Mathematical Soc.
Page : 506 pages
File Size : 43,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847022

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Algebraic Geometry by Dan Abramovich Pdf

This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.

Model Theory, Algebra, and Geometry

Deirdre Haskell,Anand Pillay,Charles Steinhorn
Model Theory Algebra and Geometry Book PDF

Author : Deirdre Haskell,Anand Pillay,Charles Steinhorn
Publisher : Cambridge University Press
Page : 244 pages
File Size : 48,7 Mb
Release : 2000-07-03
Category : Mathematics
ISBN : 0521780683

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Model Theory, Algebra, and Geometry by Deirdre Haskell,Anand Pillay,Charles Steinhorn Pdf

Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform

Reinhardt Kiehl,Rainer Weissauer
Weil Conjectures Perverse Sheaves and l adic Fourier Transform Book PDF

Author : Reinhardt Kiehl,Rainer Weissauer
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 55,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662045763

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Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform by Reinhardt Kiehl,Rainer Weissauer Pdf

The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.

Geometric Methods in Algebra and Number Theory

Fedor Bogomolov,Yuri Tschinkel
Geometric Methods in Algebra and Number Theory Book PDF

Author : Fedor Bogomolov,Yuri Tschinkel
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 50,8 Mb
Release : 2006-06-22
Category : Mathematics
ISBN : 9780817644178

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Geometric Methods in Algebra and Number Theory by Fedor Bogomolov,Yuri Tschinkel Pdf

* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry

Heights in Diophantine Geometry

Enrico Bombieri,Walter Gubler
Heights in Diophantine Geometry Book PDF

Author : Enrico Bombieri,Walter Gubler
Publisher : Cambridge University Press
Page : 676 pages
File Size : 40,9 Mb
Release : 2006
Category : Mathematics
ISBN : 0521712297

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Heights in Diophantine Geometry by Enrico Bombieri,Walter Gubler Pdf

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

Tropical Geometry and Mirror Symmetry

Mark Gross
Tropical Geometry and Mirror Symmetry Book PDF

Author : Mark Gross
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 49,8 Mb
Release : 2011-01-20
Category : Mathematics
ISBN : 9780821852323

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Tropical Geometry and Mirror Symmetry by Mark Gross Pdf

Tropical geometry provides an explanation for the remarkable power of mirror symmetry to connect complex and symplectic geometry. The main theme of this book is the interplay between tropical geometry and mirror symmetry, culminating in a description of the recent work of Gross and Siebert using log geometry to understand how the tropical world relates the A- and B-models in mirror symmetry. The text starts with a detailed introduction to the notions of tropical curves and manifolds, and then gives a thorough description of both sides of mirror symmetry for projective space, bringing together material which so far can only be found scattered throughout the literature. Next follows an introduction to the log geometry of Fontaine-Illusie and Kato, as needed for Nishinou and Siebert's proof of Mikhalkin's tropical curve counting formulas. This latter proof is given in the fourth chapter. The fifth chapter considers the mirror, B-model side, giving recent results of the author showing how tropical geometry can be used to evaluate the oscillatory integrals appearing. The final chapter surveys reconstruction results of the author and Siebert for ``integral tropical manifolds.'' A complete version of the argument is given in two dimensions.