Intersection multiplicity on blow-ups

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Abstract

A conjecture on vanishing and non-negativity of intersection multiplicity on the blow-up of a regular local ring at its closed point has been proposed. Proofs of vanishing, several special cases of non-negativity and a sufficient condition for non-negativity of this conjecture are described. The topic on intersection multiplicity on vector bundles is also addressed.

Original languageEnglish (US)
Pages (from-to)85-103
Number of pages19
JournalJournal of Algebraic Geometry
Volume22
Issue number1
DOIs
StatePublished - Mar 25 2013

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ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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