Homological mirror symmetry and algebraic cycles

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

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
Volume271
DOIs
StatePublished - Jan 1 2009

Publication series

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

Fingerprint

Algebraic Cycles
Mirror Symmetry
Rationality

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Cite this

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

Homological mirror symmetry and algebraic cycles. / Katzarkov, Ludmil.

Progress in Mathematics. Vol. 271 Springer Basel, 2009. p. 63-92 (Progress in Mathematics; Vol. 271).

Research output: Chapter in Book/Report/Conference proceedingChapter

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