Algebraic Geometry and Number Theory
Summer School, Galatasaray University, Istanbul, 2014
Editors: Mourtada, H., Sarıoğlu, C.C., Soulé, C., Zeytin, A. (Eds.)
Free Preview- 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
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- About this book
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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.
- Table of contents (7 chapters)
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p-adic Variation in Arithmetic Geometry: A Survey
Pages 1-27
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The Birational Geometry of Moduli Spaces
Pages 29-54
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On the Geometry of Hypersurfaces of Low Degrees in the Projective Space
Pages 55-90
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The Riemann–Roch Theorem in Arakelov Geometry
Pages 91-133
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Computing the Gysin Map Using Fixed Points
Pages 135-160
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Algebraic Geometry and Number Theory
- Book Subtitle
- Summer School, Galatasaray University, Istanbul, 2014
- Editors
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- Hussein Mourtada
- Celal Cem Sarıoğlu
- Christophe Soulé
- Ayberk Zeytin
- Series Title
- Progress in Mathematics
- Series Volume
- 321
- Copyright
- 2017
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-47779-4
- DOI
- 10.1007/978-3-319-47779-4
- Hardcover ISBN
- 978-3-319-47778-7
- Softcover ISBN
- 978-3-319-83821-2
- Series ISSN
- 0743-1643
- Edition Number
- 1
- Number of Pages
- XI, 232
- Topics
