Lectures on the Arithmetic Riemann-Roch Theorem PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Lectures on the Arithmetic Riemann-Roch Theorem PDF full book. Access full book title Lectures on the Arithmetic Riemann-Roch Theorem by Gerd Faltings. Download full books in PDF and EPUB format.
Author: Gerd Faltings
Publisher: Princeton University Press
ISBN: 0691025444
Category : Mathematics
Languages : en
Pages : 112
Get Book Here
Book Description
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author: Gerd Faltings
Publisher: Princeton University Press
ISBN: 0691025444
Category : Mathematics
Languages : en
Pages : 112
Get Book Here
Book Description
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author: Gerd Faltings
Publisher:
ISBN: 9780691087719
Category : Geometry, Algebraic
Languages : en
Pages : 100
Get Book Here
Book Description
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author: Gerd Faltings
Publisher: Princeton University Press
ISBN: 1400882478
Category : Mathematics
Languages : en
Pages : 118
Get Book Here
Book Description
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author: Wayne Aitken
Publisher:
ISBN: 9781470401580
Category : Arithmetical algebraic geometry
Languages : en
Pages : 174
Get Book Here
Book Description
Author: C. Soulé
Publisher: Cambridge University Press
ISBN: 9780521477093
Category : Mathematics
Languages : en
Pages : 190
Get Book Here
Book Description
An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory.
Author: Wayne Aitken
Publisher: American Mathematical Soc.
ISBN: 0821804073
Category : Mathematics
Languages : en
Pages : 189
Get Book Here
Book Description
The following gives a development of Arakelov theory general enough to handle not only regular arithmetic surfaces but also a large class of arithmetic surfaces whose generic fiber has singularities. This development culminates in an arithmetic Riemann-Roch theorem for such arithmetic surfaces. The first part of the memoir gives a treatment of Deligne's functorial intersection theory, and the second develops a class of intersection functions for singular curves which behaves analogously to the canonical Green's functions introduced by Arakelov for smooth curves.
Author: Max Deuring
Publisher: Springer
ISBN: 3540383689
Category : Mathematics
Languages : en
Pages : 157
Get Book Here
Book Description
Author: Yuhan Zha
Publisher:
ISBN:
Category : Arithmetical algebraic geometry
Languages : en
Pages : 378
Get Book Here
Book Description
Author: Otto Forster
Publisher: Springer Science & Business Media
ISBN: 1461259614
Category : Mathematics
Languages : en
Pages : 262
Get Book Here
Book Description
This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. From the reviews: "This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces."—-MATHEMATICAL REVIEWS
Author: Emmanuel Peyre
Publisher: Springer Nature
ISBN: 3030575594
Category : Mathematics
Languages : en
Pages : 469
Get Book Here
Book Description
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.
