$Rational points, rational curves, and entire holomorphic curves on projective varieties : CRM short thematic program rational points, rational curves, and entire holomorphic curves and algebraic varieties, June 3-28, 2013, Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada /$

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 /

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 dedicate...

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Bibliographic Details
Other Authors:	Gasbarri, Carlo, 1967- (Editor), Lu, Steven, 1960- (Editor), Roth, Mike, 1970- (Editor), Tschinkel, Yuri (Editor)
Format:	Book
Language:	English
Published:	Providence, Rhode Island : Montréal, Québec, Canada : American Mathematical Society ; Centre de Recherches Mathématiques, [2015] Providence, Rhode Island : Montréal, Québec, Canada : American Mathematical Society ; Centre de Recherches Mathématiques, [2015]
Series:	Contemporary mathematics (American Mathematical Society) ; v. 654 Contemporary mathematics (American Mathematical Society) Centre de recherches mathématiques proceedings v. 654. Contemporary mathematics (American Mathematical Society) v. 654
Subjects:	Algebraic varieties Arithmetical algebraic geometry Geometry, Algebraic Rational points (Geometry) Algebraic geometry > Arithmetic problems. Diophantine geometry > Arithmetic problems. Diophantine geometry Algebraic geometry > Arithmetic problems. Diophantine geometry > Arithmetic varieties and schemes; Arakelov theory; heights Algebraic geometry > Arithmetic problems. Diophantine geometry > Rational points Algebraic geometry > Special varieties > None of the above, but in this section Algebraic geometry > Special varieties > Rationally connected varieties Algebraic geometry > Arithmetic problems. Diophantine geometry > Arithmetic problems. Diophantine geometry Algebraic geometry > Arithmetic problems. Diophantine geometry > Arithmetic varieties and schemes; Arakelov theory; heights Algebraic geometry > Arithmetic problems. Diophantine geometry > Rational points Algebraic geometry > Special varieties > None of the above, but in this section Algebraic geometry > Special varieties > Rationally connected varieties Dynamical systems and ergodic theory > Arithmetic and non-Archimedean dynamical systems > Arithmetic and non-Archimedean dynamical systems Dynamical systems and ergodic theory > Arithmetic and non-Archimedean dynamical systems > Arithmetic and non-Archimedean dynamical systems Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Arithmetic algebraic geometry (Diophantine geometry) Number theory > Probabilistic theory: distribution modulo $1$; metric theory of algorithms > Diophantine approximation Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Arithmetic algebraic geometry (Diophantine geometry) Number theory > Probabilistic theory: distribution modulo $1$; metric theory of algorithms > Diophantine approximation

Table of Contents:

Some applications of p-adic uniformization to algebraic dynamics / Ekaterina Amerik
Special manifolds, arithmetic and hyperbolic aspects: a short survey / Frederic 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 / Janos Kollar
Separable rational connectedness and stability / Zhiyu Tian
Curve classes on rationally connected varieties / Runhong Zong
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
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

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