Quantitative Arithmetic of Projective Varieties [electronic resource] /
Browning, Timothy D.author.
Describes counting rational points of bounded height on projective algebraic varieties. This book discusses the topic that lies at the interface of analytic number theory and Diophantine geometry.
Describes counting rational points of bounded height on projective algebraic varieties. This book discusses the topic that lies at the interface of analytic number theory and Diophantine geometry.
"This book is based on a short graduate course given by the author at the I.C.T.P. School and Conference on Analytic Number Theory, during the period 23rd April to 11th May, 2007."--Preface.
Includes bibliographical references and index.
The Manin conjectures -- The dimension growth conjecture -- Uniform bounds for curves and surfaces -- A1 del Pezzo surface of degree 6 -- D4 del Pezzo surface of degree 3 -- Siegel's lemma and non-singular surfaces -- The Hardy-Littlewood circle method.
Ferran Sunyer i Balaguer 2009 prize.
Number theory.
Differential geometry.
Number Theory.
Differential Geometry.