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Algebraic cycles on singular varieties

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3 Scopus citations

Abstract

We discuss algebraic cycles on singular varieties, in relation to the Grothendieck group of vector bundles. This theory, which is still not fully worked out, seems to admit some surprises. On the other hand, conjectured aspects of the refined structure of cycle groups of nonsingular varieties, predicted by motivic considerations, seem to have plausible extensions to singular varieties, which can be verified in some nontrivial examples.

Original languageEnglish
Title of host publicationProceedings of the International Congress of Mathematicians 2010, ICM 2010
Pages603-623
Number of pages21
StatePublished - 2010
EventInternational Congress of Mathematicians 2010, ICM 2010 - Hyderabad, India
Duration: Aug 19 2010Aug 27 2010

Publication series

NameProceedings of the International Congress of Mathematicians 2010, ICM 2010

Conference

ConferenceInternational Congress of Mathematicians 2010, ICM 2010
Country/TerritoryIndia
CityHyderabad
Period08/19/1008/27/10

Keywords

  • Chow ring
  • Singular varieties

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