Homological mirror symmetry and algebraic cycles

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations

Abstract

In this chapter we outline some applications of Homological Mirror Symmetry to classical problems in Algebraic Geometry, like rationality of algebraic varieties and the study of algebraic cycles. Several examples are studied in detail.

Original languageEnglish (US)
Title of host publicationHomological Mirror Symmetry
Subtitle of host publicationNew Developments and Perspectives
EditorsAnton Kapustin, Maximilian Kreuzer, Karl-Georg Schlesinger
Pages125-152
Number of pages28
DOIs
StatePublished - Jan 7 2009

Publication series

NameLecture Notes in Physics
Volume757
ISSN (Print)0075-8450

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Homological mirror symmetry and algebraic cycles'. Together they form a unique fingerprint.

  • Cite this

    Katzarkov, L. (2009). Homological mirror symmetry and algebraic cycles. In A. Kapustin, M. Kreuzer, & K-G. Schlesinger (Eds.), Homological Mirror Symmetry: New Developments and Perspectives (pp. 125-152). (Lecture Notes in Physics; Vol. 757). https://doi.org/10.1007/978-3-540-68030-7_5