Read e-book online Birational Geometry, Rational Curves, and Arithmetic (Simons PDF

By Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

ISBN-10: 1461464811

ISBN-13: 9781461464815

ISBN-10: 1493901583

ISBN-13: 9781493901586

​​​​This e-book good points fresh advancements in a speedily starting to be region on the interface of higher-dimensional birational geometry and mathematics geometry.  It specializes in the geometry of areas of rational curves, with an emphasis on functions to mathematics questions.  Classically, mathematics is the research of rational or crucial strategies of diophantine equations and geometry is the research of traces and conics. From the trendy point of view, mathematics is the learn of rational and necessary issues on algebraic types over nonclosed fields. an enormous perception of the twentieth century was once that mathematics houses of an algebraic type are tightly associated with the geometry of rational curves at the sort and the way they range in families.

This selection of solicited survey and learn papers is meant to function an advent for graduate scholars and researchers drawn to coming into the sector, and as a resource of reference for specialists engaged on similar difficulties. issues that may be addressed comprise: birational houses reminiscent of rationality, unirationality, and rational connectedness, life of rational curves in prescribed homology periods, cones of rational curves on rationally attached and Calabi-Yau types, in addition to similar questions in the framework of the minimum version Program.

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Birational Geometry, Rational Curves, and Arithmetic (Simons Symposia) by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

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