Rational points, rational curves, and entire holomorphic curves on projective varieties

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 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.

subjects: Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic problems. Diophantine geometry,  Rational points (Geometry),  Algebraic geometry -- Special varieties -- Rationally connected varieties,  Arithmetical algebraic geometry,  Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Arithmetic and non-Archimedean dynamical systems,  Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points,  Algebraic Geometry,  Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic algebraic geometry (Diophantine geometry),  Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights,  Algebraic varieties,  Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation,  Algebraic geometry -- Special varieties -- None of the above, but in this section,  Geometry, algebraic