1.

Record Nr.

UNINA9910254282903321

Titolo

Algebraic Geometry and Number Theory : Summer School, Galatasaray University, Istanbul, 2014  / / edited by Hussein Mourtada, Celal Cem Sarıoğlu, Christophe Soulé, Ayberk Zeytin

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017

ISBN

3-319-47779-X

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XI, 232 p.)

Collana

Progress in Mathematics, , 0743-1643 ; ; 321

Disciplina

516.35

Soggetti

Algebraic geometry

Number theory

Commutative algebra

Commutative rings

Algebraic topology

Algebraic Geometry

Number Theory

Commutative Rings and Algebras

Algebraic Topology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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.

Sommario/riassunto

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.