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.
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vii | |
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Expository and survey articles |
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Some applications of p-adic uniformization to algebraic dynamics |
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3 | (20) |
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Special manifolds, arithmetic and hyperbolic aspects: a short survey |
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23 | (30) |
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Invitation to integral and rational points on curves and surfaces |
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53 | (22) |
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Roth's theorem: an introduction to diophantine approximation |
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75 | (34) |
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The Thue-Siegel method in diophantine geometry |
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109 | (24) |
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Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces |
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133 | (10) |
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The Lefschetz property for families of curves |
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143 | (12) |
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Separable rational connectedness and stability |
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155 | (6) |
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Curve classes on rationally connected varieties |
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161 | |
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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.
