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
著者
書誌事項
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
（Contemporary mathematics, 654 . Centre de Recherches Mathématiques proceedings）
American Mathematical Society , Centre de Recherches Mathématiques, c2015
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注記
Other editors: Steven Lu, Mike Roth, Yuri Tschinkel
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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
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