Editors:
(view affiliations)
- Hussein Mourtada,
- Celal Cem Sarıoğlu,
- Christophe Soulé,
- Ayberk Zeytin
Provides an introduction to several contemporary research topics in algebraic geometry and number theory given by leading experts
Gives a clear and motivating exposition through numerous examples and exercises
Presents a modern treatment and new points of view on classical subjects
Table of contents (7 chapters)
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- Gerard Freixas i Montplet
Pages 91-133
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About this book
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.
Keywords
- Arakelov geometry
- arithmetic intersection theory
- arithmetic Chow groups
- ample cone
- binary quadratic forms
- class number problems
- cubic three-folds
- Dirichlet L-series
- Galois L-functions
- Hilbert scheme of points
Editors and Affiliations
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Institut de Mathématiques de Jussieu, Université Paris-Diderot, France
Hussein Mourtada
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Department of Mathematics, Dokuz Eylül University, Buca, Turkey
Celal Cem Sarıoğlu
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Institut des Hautes Études Scientifiques , Bures-sur-Yvette, France
Christophe Soulé
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Department of Mathematics, Galatasaray University, Istanbul, Turkey
Ayberk Zeytin