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Princeton University Press Lectures on Resolution of Singularities - Kollar Mathematics

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Description

Resolution of singularities is a fundamental tool in algebraic geometry, and Janos Kollar's comprehensive treatment provides an essential resource for mathematicians and graduate students. This book covers the characteristic 0 case with exceptional depth, presenting more than a dozen proofs for curves drawn from the original works of Newton, Riemann, and Noether. Kollar contextualises these classical approaches within modern algebraic geometry, making historical results accessible to contemporary readers. The book addresses three distinct methods for surfaces and delivers a self-contained, elementary proof of strong and functorial resolution in all dimensions. Based on Kollar's lectures at Princeton University, this volume from Princeton University Press combines rigorous mathematics with clear exposition, making it an invaluable reference for researchers, students, and anyone working in algebraic geometry who needs to understand singularity resolution.

Key Features

More than a dozen different proofs for curves based on original papers by Newton, Riemann, and Noether.

Self-contained and elementary proof of strong and functorial resolution in all dimensions.

Three distinct methods for resolving singularities on surfaces presented with modern mathematical exposition.

Based on lectures delivered at Princeton University, offering pedagogical clarity alongside rigorous content.

Characteristic 0 case treatment providing comprehensive coverage for algebraic geometry practitioners.

Used book in good condition, offering excellent value for graduate-level mathematics study.

Product Specifications

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

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