Classification Of Supersingular Abelian Varieties

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Moduli Of Supersingular Abelian Varieties

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Author : Ke-Zheng Li
language : en
Publisher: Springer
Release Date : 2006-11-14

Moduli Of Supersingular Abelian Varieties written by Ke-Zheng Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

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).

Classification Of Supersingular Abelian Varieties

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Author : Ke-Zheng Li
language : en
Publisher:
Release Date : 1985

Classification Of Supersingular Abelian Varieties written by Ke-Zheng Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Public Record Office

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Author :
language : en
Publisher:
Release Date : 1994

Public Record Office written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Moduli Of Curves And Abelian Varieties

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Author : Carel Faber
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Moduli Of Curves And Abelian Varieties written by Carel Faber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

The present volume, with contributions of R. Dijkgraaf, C. Faber, G. van der Geer, R. Rain, E. Looijenga, and F. Oort, originates from the Dutch Intercity Seminar on Moduli (year 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. Topics include a stratification of a moduli space of abelian varieties in positive characteristic, and the calculation of the classes of the strata, tautological classes for moduli of abelian varieties as well as for moduli of curves, correspondences between moduli spaces of curves, locally symmetric families of curves and jaco bians, and the role of symmetric product spaces in quantum field theory, string theory and matrix theory. This Intercity Seminar is part of the long term project "Algebraic curves and Riemann surfaces: geometry, arithmetic and applications" , sponsored hy the Netherlands Organization for Scientific Research (NWO), that has been running since 1994. Its ancestry can be traced back to joint activities in the seventies (if not earlier), which as of 1980 had evolved into active biweekly research seminars. These have been a focal point of Dutch algebraic geometry and singularity theory since. We are grateful to NWO for its support for the project. C.F. thanks the Max-Planck-Institut fur Mathematik, Bonn, for support during the final stages of the preparation of this volume.

Barsotti Symposium In Algebraic Geometry

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Author : Valentino Cristante
language : en
Publisher: Academic Press
Release Date : 2014-07-21

Barsotti Symposium In Algebraic Geometry written by Valentino Cristante and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.

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.

Moduli Of Abelian Varieties

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Author : Gerard van der Geer
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Moduli Of Abelian Varieties written by Gerard van der Geer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Abelian varieties and their moduli are a central topic of increasing importance in today`s mathematics. Applications range from algebraic geometry and number theory to mathematical physics. The present 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. The book will appeal to pure mathematicians, especially algebraic geometers and number theorists, but will also be relevant for researchers in mathematical physics.

Algebraic Geometry And Algebraic Number Theory Procs Of The Spcial Prg At The Nankai Institute Of Maths

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Author : Ke-qin Feng
language : en
Publisher: World Scientific
Release Date : 1992-12-11

Algebraic Geometry And Algebraic Number Theory Procs Of The Spcial Prg At The Nankai Institute Of Maths written by Ke-qin Feng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-11 with categories.

This manual of geology discusses the major aspects of descriptive geology, notably rock types and structural studies. The basic techniques of rock descriptions are also dealt with at length.

Supersingular Abelian Varieties Over Finite Fields

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Author : Hui Zhu
language : en
Publisher:
Release Date : 1997

Supersingular Abelian Varieties Over Finite Fields written by Hui Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Abelian Varieties With Complex Multiplication And Modular Functions

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Author : Goro Shimura
language : en
Publisher: Princeton University Press
Release Date : 2016-06-02

Abelian Varieties With Complex Multiplication And Modular Functions written by Goro Shimura and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Mathematics categories.

Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. The investigation of such algebraicity is relatively new, but has attracted the interest of increasingly many researchers. Many of the topics discussed in this book have not been covered before. In particular, this is the first book in which the topics of various algebraic relations among the periods of abelian integrals, as well as the special values of theta and Siegel modular functions, are treated extensively.