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math.AGAug 1, 2005
29
citations (OpenAlex)
authors
  • János Kollár
institutions
  • Princeton University
arXiv abstractPDF
paper

Resolution of Singularities -- Seattle Lecture

arXiv:math/0508332

Abstract

These are the notes for my lecture ``Resolution of Sigularities in Charcteristic 0" given at the AMS Summer Institute at Seattle. It gives a self contained proof of the strong Hironaka resolution theorem.

Major changes in Section 3,6 and 10

References in corpus (1)

  • Smoothness, Semistability, and Toroidal Geometry

Cited by in corpus (14)

  • Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II
  • Singularities in positive characteristic, stratification and simplification of the singular locus
  • Rees algebras and resolution of singularities
  • Monoidal transformations of singularities in positive characteristic
  • On the semiampleness of the positive part of CKM Zariski decompositions
  • Toward resolution of singularities over a field of positive characteristic Part I. Foundation of the program: the language of the idealistic filtration
  • Singularities and K-semistability
  • Resolution of Singularities for 3-folds in positive characteristic
  • Generalized Kuga-Satake theory and rigid local systems, II: rigid Hecke eigensheaves
  • Singular equivariant asymptotics and the moment map II
  • A Coordinate-Dependent Local Resolution of Singularities with Applications
  • Functoriality in resolution of singularities
  • Desingularization of function fields
  • Algorithmic equiresolution of deformations of embedded varieties
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