@inbook{636ef37e22be4ad3b93c30b7922da06d,

title = "Homological mirror symmetry and algebraic cycles",

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.",

author = "Ludmil Katzarkov",

note = "Funding Information: This work was partially supported by NSF grants DMS0600800 and DMS0652633, FWF grant P20778, ERC grant, and by the Clay Math Institute.",

year = "2009",

doi = "10.1007/978-0-8176-4743-8_4",

language = "English (US)",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "63--92",

booktitle = "Progress in Mathematics",

}