Rational points, rational curves, and entire holomorphic curves on projective varieties : CRM short thematic program rational points, rational curves, and entire holomorphic curves and algebraic varieties, June 3-28, 2013, Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada / Carlo Gasbarri, Steven Lu, Mike Roth, Yuri Tschinkel, editors.

Format:

Book

Contributor:

Gasbarri, Carlo, 1967- editor.

Lu, Steven, 1960- editor.

Roth, Mike, 1970- editor.

Tschinkel, Yuri, editor.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 654.

Contemporary mathematics: Centre de Recherches Mathématiques Proceedings ; volume 654

Language:

English

Subjects (All):

Arithmetical algebraic geometry.

Geometry, Algebraic.

Rational points (Geometry).

Algebraic varieties.

Physical Description:

vii, 165 pages : illustrations ; 26 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society ; Montréal, Québec, Canada : Centre de Recherches Mathématiques, [2015]

Summary:

This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. Read more The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation.

Contents:

Some applications of p-adic uniformization to algebraic dynamics / Ekaterina Amerik

Special manifolds, arithmetic and hyperbolic aspects: a short survey / Frédéric Campana

Invitation to integral and rational points on curves and surfaces / Pranabesh Das and Amos Turchet

Roth's theorem: an introduction to diophantine approximation / Michael Nakamaye

The Thue-Siegel method in diophantine geometry / Paul Vojta

Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces / Angelynn Alvarez, Ananya Chaturvedi, and Gordon Heier

The Lefschetz property for families of curves / János Kollár

Separable rational connectedness and stability / Zhiyu Tian

Curve classes on rationally connected varieties / Runhong Zong.

Notes:

Includes bibliographical references.

ISBN:

9781470414580

1470414589

OCLC:

910993714