Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties
Will be published approx. on 30. December 2015
Book
Paperback/Softback
165 pages
978-1-4704-1458-0 (ISBN)
Description
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 Mathematiques, Universite de Montreal, Quebec, Canada.
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
259 gr
ISBN-13
978-1-4704-1458-0 (9781470414580)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Carlo Gasbarri, Universite de Strasbourg, France.
Steven Lu, Universite du Quebec a Montreal, Quebec, Canada.
Mike Roth, Queen's University, Kingston, Ontario, Canada.
Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, NY, USA.
Steven Lu, Universite du Quebec a Montreal, Quebec, Canada.
Mike Roth, Queen's University, Kingston, Ontario, Canada.
Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, NY, USA.
Content
Expository and survey articles: Some applications of $p$-adic uniformization to algebraic dynamics by E. Amerik
Special manifolds, arithmetic and hyperbolic aspects: A short survey by F. Campana
Invitation to integral and rational points on curves and surfaces by P. Das and A. Turchet
Roth's theorem: An introduction to diophantine approximation by M. Nakamaye
The Thue-Siegel method in diophantine geometry by P. Vojta
Research articles: Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces by A. Alvarez, A. Chaturvedi, and G. Heier
The Lefschetz property for families of curves by J. Kollar
Separable rational connectedness and stability by Z. Tian
Curve classes on rationally connected varieties by R. Zong
Special manifolds, arithmetic and hyperbolic aspects: A short survey by F. Campana
Invitation to integral and rational points on curves and surfaces by P. Das and A. Turchet
Roth's theorem: An introduction to diophantine approximation by M. Nakamaye
The Thue-Siegel method in diophantine geometry by P. Vojta
Research articles: Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces by A. Alvarez, A. Chaturvedi, and G. Heier
The Lefschetz property for families of curves by J. Kollar
Separable rational connectedness and stability by Z. Tian
Curve classes on rationally connected varieties by R. Zong