Algebraic Geometry and Number Theory : Summer School, Galatasaray University, Istanbul, 2014 (Progress in Mathematics)

Mourtada, Hussein (EDT)/ Sarıoğlu, Celal Cem (EDT)/ Soulé, Christophe (EDT)

Birkhauser Verlag AG（2018/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 232 p.
• 言語 ENG
• 商品コード 9783319838212
• DDC分類 512.44

Full Description

This lecture notes volume presents significant contributions from the "Algebraic Geometry and Number Theory" Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.

It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.

Contents

Preface.- List of Participants.- p-adic Variation in Arithmetic Geometry: A Survey.- The Birational Geometry of Moduli Spaces.- On the Geometry of Hypersurfaces of Low Degrees in the Projective Space.- The Riemann-Roch Theorem in Arakelov Geometry.- Computing the Gysin Map Using Fixed Points.- On -adic Galois L-functions.- Class Number Problems and Lang Conjectures.