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Birkhäuser

Algebraic Geometry and Number Theory

Summer School, Galatasaray University, Istanbul, 2014

  • Book
  • © 2017

Overview

Editors:
  1. Hussein Mourtada

    1. Institut de Mathématiques de Jussieu, Université Paris-Diderot, France

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  2. Celal Cem Sarıoğlu

    1. Department of Mathematics, Dokuz Eylül University, Buca, Turkey

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  3. Christophe Soulé

    1. Institut des Hautes Études Scientifiques , Bures-sur-Yvette, France

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  4. Ayberk Zeytin

    1. Department of Mathematics, Galatasaray University, Istanbul, Turkey

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  • 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

Part of the book series: Progress in Mathematics (PM, volume 321)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. p-adic Variation in Arithmetic Geometry: A Survey

    • Kâzım Büyükboduk
    Pages 1-27

  3. The Birational Geometry of Moduli Spaces

    • İzzet Coşkun
    Pages 29-54

  4. On the Geometry of Hypersurfaces of Low Degrees in the Projective Space

    • Olivier Debarre
    Pages 55-90

  5. The Riemann–Roch Theorem in Arakelov Geometry

    • Gerard Freixas i Montplet
    Pages 91-133

  6. Computing the Gysin Map Using Fixed Points

    • Loring W. Tu
    Pages 135-160

  7. On l-adic Galois L-functions

    • Zdzisław Wojtkowiak
    Pages 161-209

  8. Class Number Problems and Lang Conjectures

    • Ayberk Zeytin
    Pages 211-232
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Keywords

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.

Editors and Affiliations

  • Institut de Mathématiques de Jussieu, Université Paris-Diderot, France

    Hussein Mourtada

  • Department of Mathematics, Dokuz Eylül University, Buca, Turkey

    Celal Cem Sarıoğlu

  • Institut des Hautes Études Scientifiques , Bures-sur-Yvette, France

    Christophe Soulé

  • Department of Mathematics, Galatasaray University, Istanbul, Turkey

    Ayberk Zeytin

Bibliographic Information

  • Book Title: Algebraic Geometry and Number Theory

  • Book Subtitle: Summer School, Galatasaray University, Istanbul, 2014

  • Editors: Hussein Mourtada, Celal Cem Sarıoğlu, Christophe Soulé, Ayberk Zeytin

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-47779-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-47778-7Published: 16 May 2017

  • Softcover ISBN: 978-3-319-83821-2Published: 01 September 2018

  • eBook ISBN: 978-3-319-47779-4Published: 07 May 2017

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XI, 232

  • Topics: Algebraic Geometry, Number Theory, Commutative Rings and Algebras, Algebraic Topology

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