𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Arithmetic of algebraic curves

✍ Scribed by Serguei A. Stepanov


Book ID
127455456
Publisher
Consultants Bureau
Year
1994
Tongue
English
Weight
3 MB
Series
Monographs in contemporary mathematics
Edition
1
Category
Library
City
New York
ISBN-13
9780306110368

No coin nor oath required. For personal study only.

✦ Synopsis


Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.


πŸ“œ SIMILAR VOLUMES


Algebraic Geometry and Arithmetic Curves
✍ Qing Liu πŸ“‚ Library πŸ“… 2002 πŸ› Oxford University Press 🌐 English βš– 7 MB

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main T

Algebraic Arithmetic
✍ B., W. E. H. πŸ“‚ Article πŸ“… 1928 πŸ› Nature Publishing Group 🌐 English βš– 123 KB
Arithmetic Algebraic Geometry
✍ J. L. Colliot-Thelene, K. Kato, P. Vojta πŸ“‚ Library πŸ“… 1994 🌐 English βš– 892 KB

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the appl

Arithmetic Algebraic Geometry
✍ Gerard van der Geer, Frans Oort, Jozef Steenbrink (auth.), G. van der Geer, F. O πŸ“‚ Library πŸ“… 1991 πŸ› BirkhΓ€user 🌐 English βš– 3 MB

Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number