Modular Curves And Abelian Varieties
Download Modular Curves And Abelian Varieties full books in PDF, epub, and Kindle. Read online free Modular Curves And Abelian Varieties ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: John Cremona |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 308 |
Release |
: 2004-02-23 |
ISBN-10 |
: 3764365862 |
ISBN-13 |
: 9783764365868 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Modular Curves and Abelian Varieties by : John Cremona
This book presents lectures from a conference on "Modular Curves and Abelian Varieties'' at the Centre de Recerca MatemĂ tica (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 |
: John Cremona |
Publisher |
: Birkhäuser |
Total Pages |
: 291 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783034879194 |
ISBN-13 |
: 3034879199 |
Rating |
: 4/5 (94 Downloads) |
Synopsis Modular Curves and Abelian Varieties by : John Cremona
This book presents lectures from a conference on "Modular Curves and Abelian Varieties'' at the Centre de Recerca Matemtica (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 |
: Vijaya Kumar Murty |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 128 |
Release |
: 1993 |
ISBN-10 |
: 9780821811795 |
ISBN-13 |
: 0821811797 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Introduction to Abelian Varieties by : Vijaya Kumar Murty
This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, number theory, and complex analysis. The book is based on notes from a course given at Concordia University and would be useful for independent study or as a textbook for graduate courses in complex analysis, Riemann surfaces, number theory, or analytic geometry. Murty works mostly over the complex numbers, discussing the theorem of Abel-Jacobi and Lefschetz's theorem on projective embeddings. After presenting some examples, Murty touches on Abelian varieties over number fields, as well as the conjecture of Tate (Faltings's theorem) and its relation to Mordell's conjecture. References are provided to guide the reader in further study.
Author |
: Allan Adler |
Publisher |
: Springer |
Total Pages |
: 205 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540496090 |
ISBN-13 |
: 3540496092 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Moduli of Abelian Varieties by : Allan Adler
This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and invariant theory and their applications to these geometrical questions.
Author |
: Carel Faber |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 205 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783322901729 |
ISBN-13 |
: 3322901726 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Moduli of Curves and Abelian Varieties by : Carel Faber
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 |
: G Stevens |
Publisher |
: Springer Science & Business Media |
Total Pages |
: |
Release |
: 1988-01-01 |
ISBN-10 |
: 0817630481 |
ISBN-13 |
: 9780817630485 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Arithmetic on Modular Curves by : G Stevens
Author |
: Fred Diamond |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 462 |
Release |
: 2006-03-30 |
ISBN-10 |
: 9780387272269 |
ISBN-13 |
: 0387272267 |
Rating |
: 4/5 (69 Downloads) |
Synopsis A First Course in Modular Forms by : Fred Diamond
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
Author |
: Seth Kleinerman |
Publisher |
: |
Total Pages |
: 46 |
Release |
: 2004 |
ISBN-10 |
: OCLC:77073330 |
ISBN-13 |
: |
Rating |
: 4/5 (30 Downloads) |
Synopsis On the Torsion Points of Elliptic Curves and Modular Abelian Varieties by : Seth Kleinerman
Author |
: Jean-Pierre Serre |
Publisher |
: CRC Press |
Total Pages |
: 203 |
Release |
: 1997-11-15 |
ISBN-10 |
: 9781439863862 |
ISBN-13 |
: 1439863865 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Abelian l-Adic Representations and Elliptic Curves by : Jean-Pierre Serre
This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one
Author |
: Eyal Zvi Goren |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 282 |
Release |
: 2002 |
ISBN-10 |
: 9780821819951 |
ISBN-13 |
: 082181995X |
Rating |
: 4/5 (51 Downloads) |
Synopsis Lectures on Hilbert Modular Varieties and Modular Forms by : Eyal Zvi Goren
This book is devoted to certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The theory of $p$-adic modular forms is presented first in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. It is re-interpreted from a geometric point of view, which is developed to present the rudiments of a similar theory for Hilbert modular forms. The theory of moduli spaces of abelianvarieties with real multiplication is presented first very explicitly over the complex numbers. Aspects of the general theory are then exposed, in particular, local deformation theory of abelian varieties in positive characteristic. The arithmetic of $p$-adic Hilbert modular forms and the geometry ofmoduli spaces of abelian varieties are related. This relation is used to study $q$-expansions of Hilbert modular forms, on the one hand, and stratifications of moduli spaces on the other hand. The book is addressed to graduate students and non-experts. It attempts to provide the necessary background to all concepts exposed in it. It may serve as a textbook for an advanced graduate course.