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Generalized Homological Mirror Symmetry and Rationality Questions

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Cohomological and Geometric Approaches to Rationality Problems

Part of the book series: Progress in Mathematics ((PM,volume 282))

Summary

We study geometric consequences of Homological Mirror Symmetry, with special regard to rationality questions.

2000 Mathematics Subject Classification codes: 14J32, 14E08

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Acknowledgments

We are grateful to D. Auroux, V. Golyshev, M. Gross, T. Pantev, P. Seidel, D. Orlov, M. Kontsevich, A. Kuznetsov, V. Przyjalkowski for many useful conversations. Many thanks go to V. Boutchaktchiev without whom this paper would not have been written. We are grateful to IHES, ESI, and EPFL for the support,

This paper came out of a talk given in Augsburg in 2007. More details will appear elsewhere.

This work was partially supported by NSF Grant DMS0600800, by NSF FRG DMS-0652633, FWF grant P20778, and ERC grant.

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Authors and Affiliations

  1. Department of Mathematics, University of Miami Coral Gables, 33124, Miami, FL, USA

    Ludmil Katzarkov

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  1. Ludmil Katzarkov
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Correspondence to Ludmil Katzarkov .

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Editors and Affiliations

  1. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, USA

    Fedor Bogomolov

  2. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Yuri Tschinkel

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Katzarkov, L. (2010). Generalized Homological Mirror Symmetry and Rationality Questions. In: Bogomolov, F., Tschinkel, Y. (eds) Cohomological and Geometric Approaches to Rationality Problems. Progress in Mathematics, vol 282. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4934-0_7

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