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Princeton University Press Lectures on Resolution of Singularities

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Description

Explore the fundamental principles of algebraic geometry with Lectures on Resolution of Singularities (AM-166) from the Annals of Mathematics Studies. This text by Janos Kollar offers a deep look into the characteristic 0 case, making it a vital resource for students and researchers in higher mathematics. Kollar provides a clear path through the subject by presenting more than a dozen proofs for curves. By revisiting the original work of Newton, Riemann, and Noether, the book connects historical mathematical foundations with modern contexts. This approach helps readers understand how classical methods evolve into contemporary techniques. For those studying surfaces, the text addresses three distinct methods. Most notably, it includes a self-contained and elementary proof of a strong and functorial resolution across all dimensions. Based on a series of lectures at Princeton University, this book serves as a comprehensive guide for anyone looking to master this powerful tool in the field of mathematics.

Key Features

Comprehensive coverage of the characteristic 0 case in algebraic geometry.

Includes over a dozen proofs for curves based on original works by Newton, Riemann, and Noether.

Provides three different methods for addressing surfaces within the text.

Features a self-contained and elementary proof of strong and functorial resolution in all dimensions.

Connects historical mathematical sources to a modern academic context.

Used book in good condition, perfect for higher education study.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
25 February 2007
Listed Since
20 February 2007

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