Homological mirror symmetry and algebraic cycles

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations

Abstract

In this paper we describe a Homological Mirror Symmetry approach to classical problems in Algebric Geometry — rationality questions and the Hodge conjecture. Several examples are studied in detail.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages63-92
Number of pages30
DOIs
StatePublished - Jan 1 2009

Publication series

NameProgress in Mathematics
Volume271
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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  • Cite this

    Katzarkov, L. (2009). Homological mirror symmetry and algebraic cycles. In Progress in Mathematics (pp. 63-92). (Progress in Mathematics; Vol. 271). Springer Basel. https://doi.org/10.1007/978-0-8176-4743-8_4