Share

Rational Algebraic Curves

2007-12-10 Mathematics
Download Rational Algebraic Curves PDF Online Free

Author :
Release : 2007-12-10
Genre : Mathematics
Kind : eBook
Book Rating : 251/5 ( reviews)

GET EBOOK


Book Synopsis Rational Algebraic Curves by : J. Rafael Sendra

Download or read book Rational Algebraic Curves written by J. Rafael Sendra. This book was released on 2007-12-10. Available in PDF, EPUB and Kindle. Book excerpt: The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.

Rational Curves on Algebraic Varieties

2013-04-09 Mathematics
Download Rational Curves on Algebraic Varieties PDF Online Free

Author :
Release : 2013-04-09
Genre : Mathematics
Kind : eBook
Book Rating : 767/5 ( reviews)

GET EBOOK


Book Synopsis Rational Curves on Algebraic Varieties by : Janos Kollar

Download or read book Rational Curves on Algebraic Varieties written by Janos Kollar. This book was released on 2013-04-09. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.

Rational Algebraic Curves

2007-10-19 Mathematics
Download Rational Algebraic Curves PDF Online Free

Author :
Release : 2007-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 243/5 ( reviews)

GET EBOOK


Book Synopsis Rational Algebraic Curves by : J. Rafael Sendra

Download or read book Rational Algebraic Curves written by J. Rafael Sendra. This book was released on 2007-10-19. Available in PDF, EPUB and Kindle. Book excerpt: The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.

Arithmetic of Algebraic Curves

1994-12-31 Mathematics
Download Arithmetic of Algebraic Curves PDF Online Free

Author :
Release : 1994-12-31
Genre : Mathematics
Kind : eBook
Book Rating : 368/5 ( reviews)

GET EBOOK


Book Synopsis Arithmetic of Algebraic Curves by : Serguei A. Stepanov

Download or read book Arithmetic of Algebraic Curves written by Serguei A. Stepanov. This book was released on 1994-12-31. Available in PDF, EPUB and Kindle. Book excerpt: Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.

Algebraic Curves and One-Dimensional Fields

2002 Mathematics
Download Algebraic Curves and One-Dimensional Fields PDF Online Free

Author :
Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 622/5 ( reviews)

GET EBOOK


Book Synopsis Algebraic Curves and One-Dimensional Fields by : Fedor Bogomolov

Download or read book Algebraic Curves and One-Dimensional Fields written by Fedor Bogomolov. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. It demonstrates how curves can act as a natural introduction to algebraic geometry.

You may also like...