Birational Geometry Rational Curves and Arithmetic is popular PDF and ePub book, written by Fedor Bogomolov in 2013-05-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Birational Geometry Rational Curves and Arithmetic can be Read Online from any device for your convenience.
Birational Geometry Rational Curves and Arithmetic Book PDF Summary
This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.
Detail Book of Birational Geometry Rational Curves and Arithmetic PDF
- Author : Fedor Bogomolov
- Release : 17 May 2013
- Publisher : Springer Science & Business Media
- ISBN : 9781461464822
- Genre : Mathematics
- Total Page : 324 pages
- Language : English
- PDF File Size : 19,9 Mb
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