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Author : János Kollár,David R. Morrison
Publisher : American Mathematical Soc.
Page : 469 pages
File Size : 48,7 Mb
Release : 1997
Category : Geometry, Algebraic
ISBN : 9780821808948
Author : János Kollár,Robert Lazarsfeld,David R. Morrison
Publisher : American Mathematical Soc.
Page : 480 pages
File Size : 52,7 Mb
Release : 1997
Category : Mathematics
ISBN : STANFORD:36105022859776
This volume contains many of the lectures delivered at the AMS Summer Research Institute on Algebraic Geometry held at the University of California, Santa Cruz, in July 1995. The aim of the conference was to provide a comprehensive view of the development of algebraic geometry in the past decade and to lay special emphasis on emerging new directions. The focus of the papers in these volumes is on expository surveys of important areas rather than on technical presentations of new results. These proceedings will be an indispensable reference and guide for researchers in algebraic geometry or nearby fields.
Author : János Kollár,David R. Morrison
Publisher : American Mathematical Soc.
Page : 473 pages
File Size : 47,7 Mb
Release : 1997
Category : Geometry, Algebraic
ISBN : 9780821808955
Author : Dan Abramovich
Publisher : American Mathematical Soc.
Page : 539 pages
File Size : 43,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847039
Offers information on various technical tools, from jet schemes and derived categories to algebraic stacks. This book delves into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. It describes various advances in higher-dimensional bi rational geometry.
Author : Paolo Cascini,James McKernan,Jorge Vitório Pereira
Publisher : Springer
Page : 216 pages
File Size : 42,8 Mb
Release : 2016-03-30
Category : Mathematics
ISBN : 9783319244600
Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study./div
Author : David Eisenbud,Srikanth B. Iyengar,Anurag K. Singh,J. Toby Stafford,Michel Van den Bergh
Publisher : Cambridge University Press
Page : 463 pages
File Size : 40,6 Mb
Release : 2015-11-19
Category : Mathematics
ISBN : 9781107065628
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.
Author : Emma Previato
Publisher : American Mathematical Soc.
Page : 310 pages
File Size : 53,8 Mb
Release : 2001
Category : Geometry, Algebraic
ISBN : 9780821828106
Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.
Author : Ravi Vakil,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 52,9 Mb
Release : 2005
Category : Geometry, Algebraic
ISBN : 9780821837191
A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry. The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.
Author : Richard Thomas
Publisher : American Mathematical Soc.
Page : 635 pages
File Size : 43,5 Mb
Release : 2018-06-01
Category : Geometry, Algebraic
ISBN : 9781470435783
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.
Author : Hussein Mourtada,Celal Cem Sarıoğlu,Christophe Soulé,Ayberk Zeytin
Publisher : Birkhäuser
Page : 232 pages
File Size : 46,8 Mb
Release : 2017-05-07
Category : Mathematics
ISBN : 9783319477794
This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.
Author : Tommaso de Fernex,Brendan Hassett,Mircea Mustaţă,Martin Olsson,Mihnea Popa,Richard Thomas
Publisher : American Mathematical Soc.
Page : 655 pages
File Size : 48,6 Mb
Release : 2018-06-01
Category : Geometry, Algebraic
ISBN : 9781470435776
This is Part 1 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.
Author : Saugata Basu,Laureano González-Vega
Publisher : American Mathematical Soc.
Page : 238 pages
File Size : 54,8 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 0821871021
Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on ''Algorithmic and Quantitative Aspects of Real Algebraic Geometry''. Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.
Author : Akira Ohbuchi,Kazuhiro Konno,Sampei Usui,Atsushi Moriwaki,Noboru Nakayama
Publisher : World Scientific
Page : 272 pages
File Size : 46,5 Mb
Release : 2003-01-17
Category : Mathematics
ISBN : 9789814486736
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
Author : Akira Ohbuchi
Publisher : World Scientific
Page : 280 pages
File Size : 51,8 Mb
Release : 2003-01-17
Category : Mathematics
ISBN : 9812705104
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."
Author : Gebhard Böckle,Wolfram Decker,Gunter Malle
Publisher : Springer
Page : 753 pages
File Size : 48,7 Mb
Release : 2018-03-22
Category : Mathematics
ISBN : 9783319705668
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.
