Resolution of Singularities

Resolution of Singularities

English | 2004-06-01 | ISBN: 0821835556 | PDF | 186 Pages | 11 MB

The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions.A simplified proof, based on canonical resolutions, is given in this book for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves.

Download:

http://longfiles.com/e7rid5di2xt0/Resolution_of_Singularities_ebook3000.pdf.html

[Fast Download] Resolution of Singularities


Ebooks related to "Resolution of Singularities" :
Empirical Research in Statistics Education
TTC - Understanding Calculus: Problems, Solutions, and Tips [repost]
A Companion to Interdisciplinary Stem Project-Based Learning, Second Edition
Intelligent Mathematics II: Applied Mathematics and Approximation Theory
Advances and Applications in Chaotic Systems
Understanding And Implementing the Finite Element Method
Data Assimilation: Mathematical Concepts and Instructive Examples
The integration of functions of a single variable
Inequalities for Graph Eigenvalues
Basic Algebra I, Second Edition
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.