Author: Michael McQuillan
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
Book Description
A Dynamical Counterpart to Falting's "diophantine Approximation on Abelian Varieties"
Author: Michael McQuillan
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
Book Description
Diophantine Approximation and Abelian Varieties
Author: Bas Edixhoven
Publisher: Springer Science & Business Media
ISBN: 3540575286
Category : Mathematics
Languages : en
Pages : 136
Book Description
The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.
Publisher: Springer Science & Business Media
ISBN: 3540575286
Category : Mathematics
Languages : en
Pages : 136
Book Description
The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.
Nevanlinna Theory And Its Relation To Diophantine Approximation (Second Edition)
Author: Min Ru
Publisher: World Scientific
ISBN: 9811233527
Category : Mathematics
Languages : en
Pages : 443
Book Description
This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.
Publisher: World Scientific
ISBN: 9811233527
Category : Mathematics
Languages : en
Pages : 443
Book Description
This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.
Diophantine Approximation and Abelian Varieties
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 127
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 127
Book Description
Several Complex Variables
Author: Michael Schneider
Publisher: Cambridge University Press
ISBN: 9780521770866
Category : Mathematics
Languages : en
Pages : 582
Book Description
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Publisher: Cambridge University Press
ISBN: 9780521770866
Category : Mathematics
Languages : en
Pages : 582
Book Description
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Number Theoretic Methods
Author: Shigeru Kanemitsu
Publisher: Springer Science & Business Media
ISBN: 1475736754
Category : Mathematics
Languages : en
Pages : 442
Book Description
This volume contains the proceedings of the very successful second China-Japan Seminar held in lizuka, Fukuoka, Japan, during March 12-16, 2001 under the support of the Japan Society for the Promotion of Science (JSPS) and the National Science Foundation of China (NSFC), and some invited papers of eminent number-theorists who visited Japan during 1999-2001 at the occasion of the Conference at the Research Institute of Mathematical Sciences (RIMS), Kyoto University. The proceedings of the 1st China-Japan Seminar held in September 1999 in Beijing has been published recently {2002) by Kluwer as DEVM 6 which also contains some invited papers. The topics of that volume are, however, restricted to analytic number theory and many papers in this field are assembled. In this volume, we return to the lines of the previous one "Number Theory and its Applications", published as DEVM 2 by Kluwer in 1999 and uphold the spirit of presenting various topics in number theory and related areas with possible applica tions, in a unified manner, and this time in nearly a book form with a well-prepared index. We accomplish this task by collecting highly informative and readable survey papers (including half-survey type papers), giving overlooking surveys of the hith erto obtained results in up-to-the-hour form with insight into the new developments, which are then analytically continued to a collection of high standard research papers which are concerned with rather diversed areas and will give good insight into new researches in the new century.
Publisher: Springer Science & Business Media
ISBN: 1475736754
Category : Mathematics
Languages : en
Pages : 442
Book Description
This volume contains the proceedings of the very successful second China-Japan Seminar held in lizuka, Fukuoka, Japan, during March 12-16, 2001 under the support of the Japan Society for the Promotion of Science (JSPS) and the National Science Foundation of China (NSFC), and some invited papers of eminent number-theorists who visited Japan during 1999-2001 at the occasion of the Conference at the Research Institute of Mathematical Sciences (RIMS), Kyoto University. The proceedings of the 1st China-Japan Seminar held in September 1999 in Beijing has been published recently {2002) by Kluwer as DEVM 6 which also contains some invited papers. The topics of that volume are, however, restricted to analytic number theory and many papers in this field are assembled. In this volume, we return to the lines of the previous one "Number Theory and its Applications", published as DEVM 2 by Kluwer in 1999 and uphold the spirit of presenting various topics in number theory and related areas with possible applica tions, in a unified manner, and this time in nearly a book form with a well-prepared index. We accomplish this task by collecting highly informative and readable survey papers (including half-survey type papers), giving overlooking surveys of the hith erto obtained results in up-to-the-hour form with insight into the new developments, which are then analytically continued to a collection of high standard research papers which are concerned with rather diversed areas and will give good insight into new researches in the new century.
Effective Diophantine Approximation on Abelian Varieties I
Author: Eric Gaudron
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
Degeneration of Abelian Varieties
Author: Gerd Faltings
Publisher: Springer Science & Business Media
ISBN: 3662026325
Category : Mathematics
Languages : en
Pages : 328
Book Description
A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space, with most of the results being published for the first time. Highlights of the book include a classification of semi-abelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables, together with a new approach to Siegel modular forms. A valuable source of reference for researchers and graduate students interested in algebraic geometry, Shimura varieties or diophantine geometry.
Publisher: Springer Science & Business Media
ISBN: 3662026325
Category : Mathematics
Languages : en
Pages : 328
Book Description
A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space, with most of the results being published for the first time. Highlights of the book include a classification of semi-abelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables, together with a new approach to Siegel modular forms. A valuable source of reference for researchers and graduate students interested in algebraic geometry, Shimura varieties or diophantine geometry.
Higher Ramanujan Equations and Periods of Abelian Varieties
Author: Tiago J. Fonseca
Publisher: American Mathematical Society
ISBN: 147046019X
Category : Mathematics
Languages : en
Pages : 158
Book Description
View the abstract.
Publisher: American Mathematical Society
ISBN: 147046019X
Category : Mathematics
Languages : en
Pages : 158
Book Description
View the abstract.
Degeneration of Abelian Varieties
Author: Gerd Faltings
Publisher:
ISBN: 9783662026335
Category :
Languages : en
Pages : 336
Book Description
Publisher:
ISBN: 9783662026335
Category :
Languages : en
Pages : 336
Book Description