Moduli Of Supersingular Abelian Varieties

Author : Ke-Zheng Li,Frans Oort
Publisher : Springer
Page : 123 pages
File Size : 46,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540696667

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Moduli of Supersingular Abelian Varieties by Ke-Zheng Li,Frans Oort Pdf

Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Äg.g/4Ü, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).

Author : Ke-Zheng Li,Frans Oort
Publisher : Unknown
Page : 138 pages
File Size : 54,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662211793

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Moduli of Supersingular Abelian Varieties by Ke-Zheng Li,Frans Oort Pdf

Author : K.-Z. Li,F. Oort
Publisher : Unknown
Page : 107 pages
File Size : 40,7 Mb
Release : 1993
Category : Electronic
ISBN : OCLC:897889662

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Moduli of Supersingular Abelian Varieties by K.-Z. Li,F. Oort Pdf

Author : Gerard van der Geer,C. Faber,Frans Oort
Publisher : Birkhäuser
Page : 526 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883030

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Moduli of Abelian Varieties by Gerard van der Geer,C. Faber,Frans Oort Pdf

Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.

Author : Carel Faber,Eduard Looijenga
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783322901729

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Moduli of Curves and Abelian Varieties by Carel Faber,Eduard Looijenga Pdf

The Dutch Intercity Seminar on Moduli, which dates back to the early eighties, was an initiative of G. van der Geer, F. Oort and C. Peters. Through the years it became a focal point of Dutch mathematics and it gained some fame, also outside Holland, as an active biweekly research seminar. The tradition continues up to today. The present volume, with contributions of R. Dijkgraaf, C. Faber, G. van der Geer, R. Hain, E. Looijenga, and F. Oort, originates from the seminar held in 1995--96. Some of the articles here were discussed, in preliminary form, in the seminar; others are completely new. Two introductory papers, on moduli of abelian varieties and on moduli of curves, accompany the articles.

Author : John Cremona
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 55,6 Mb
Release : 2004-02-23
Category : Mathematics
ISBN : 3764365862

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Modular Curves and Abelian Varieties by John Cremona Pdf

This book presents lectures from a conference on "Modular Curves and Abelian Varieties'' at the Centre de Recerca Matemàtica (Bellaterra, Barcelona). The articles in this volume present the latest achievements in this extremely active field and will be of interest both to specialists and to students and researchers. Many contributions focus on generalizations of the Shimura-Taniyama conjecture to varieties such as elliptic Q-curves and Abelian varieties of GL_2-type. The book also includes several key articles in the subject that do not correspond to conference lectures.

Author : B. Brent Gordon
Publisher : American Mathematical Soc.
Page : 468 pages
File Size : 46,9 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 0821870203

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The Arithmetic and Geometry of Algebraic Cycles by B. Brent Gordon Pdf

From the June 1998 Summer School come 20 contributions that explore algebraic cycles (a subfield of algebraic geometry) from a variety of perspectives. The papers have been organized into sections on cohomological methods, Chow groups and motives, and arithmetic methods. Some specific topics include logarithmic Hodge structures and classifying spaces; Bloch's conjecture and the K-theory of projective surfaces; and torsion zero-cycles and the Abel-Jacobi map over the real numbers.

Author : Martin C. Olsson
Publisher : Springer
Page : 286 pages
File Size : 44,9 Mb
Release : 2008-07-25
Category : Mathematics
ISBN : 9783540705192

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Compactifying Moduli Spaces for Abelian Varieties by Martin C. Olsson Pdf

This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa.

Author : Gerard van der Geer,C. Faber,Frans Oort
Publisher : Birkhäuser
Page : 518 pages
File Size : 49,7 Mb
Release : 2012-10-23
Category : Mathematics
ISBN : 3034895097

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Moduli of Abelian Varieties by Gerard van der Geer,C. Faber,Frans Oort Pdf

Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.

Author : Klaus Hulek,Constantin Kahn,Steven H. Weintraub
Publisher : Walter de Gruyter
Page : 361 pages
File Size : 46,5 Mb
Release : 2011-05-03
Category : Mathematics
ISBN : 9783110891928

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Moduli Spaces of Abelian Surfaces by Klaus Hulek,Constantin Kahn,Steven H. Weintraub Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Author : Ke-qin Feng,Ke-zheng Li
Publisher : World Scientific
Page : 229 pages
File Size : 45,7 Mb
Release : 1992-12-11
Category : Electronic
ISBN : 9789814554985

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Algebraic Geometry And Algebraic Number Theory -Procs Of The Spcial Prg At The Nankai Institute Of Maths by Ke-qin Feng,Ke-zheng Li Pdf

This volume contains 18 research papers on algebraic geometry, algebraic number theory and algebraic groups. Two summarized surveys on Arthur's invariant trace formula and the representation theory of quantum linear groups by K F Lai and Jian-Pan Wang respectively are included.

Author : Valentino Cristante,William Messing
Publisher : Academic Press
Page : 306 pages
File Size : 46,6 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.

Author : Werner Müller,Sug Woo Shin,Nicolas Templier
Publisher : Springer Nature
Page : 438 pages
File Size : 41,9 Mb
Release : 2021-05-18
Category : Mathematics
ISBN : 9783030685065

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Relative Trace Formulas by Werner Müller,Sug Woo Shin,Nicolas Templier Pdf

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur’s trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches.

Author : Gavril Farkas,Gerard van der Geer,Mingmin Shen,Lenny Taelman
Publisher : Springer Nature
Page : 433 pages
File Size : 49,6 Mb
Release : 2021-10-19
Category : Mathematics
ISBN : 9783030754211

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Rationality of Varieties by Gavril Farkas,Gerard van der Geer,Mingmin Shen,Lenny Taelman Pdf

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles, various aspects of stable birationality, cubic and Fano fourfolds, rationality of moduli spaces and birational invariants of group actions on varieties, contributed by the foremost experts in their fields. The question of whether an algebraic variety can be parametrized by rational functions of as many variables as its dimension has a long history and played an important role in the history of algebraic geometry. Recent developments in algebraic geometry have made this question again a focal point of research and formed the impetus to organize a conference in the series of conferences on the island of Schiermonnikoog. The book follows in the tradition of earlier volumes, which originated from conferences on the islands Texel and Schiermonnikoog.

Author : Jennifer S. Balakrishnan,Noam Elkies,Brendan Hassett,Bjorn Poonen,Andrew V. Sutherland,John Voight
Publisher : Springer Nature
Page : 587 pages
File Size : 50,8 Mb
Release : 2022-03-15
Category : Mathematics
ISBN : 9783030809140

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Arithmetic Geometry, Number Theory, and Computation by Jennifer S. Balakrishnan,Noam Elkies,Brendan Hassett,Bjorn Poonen,Andrew V. Sutherland,John Voight Pdf

This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.