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Categorial Mirror Symmetry for K3 Surfaces

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Abstract:

We study the structure of a modified Fukaya category ?(X) associated with a K3 surface X, and prove that whenever $X$ is an elliptic K3 surface with a section, the derived category of ?(X) is equivalent to a subcategory of the derived category of coherent sheaves on the mirror K3 surface .

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Genova, Via Dodecaneso 35, 16146 Genova, Italy.¶E-mail: bartocci@dima.unige.it, , , , , , IT

    C. Bartocci

  2. Scuola Internazionale Superiore di Studi Avanzati (SISSA), Via Beirut 2–4, 34014 Trieste, Italy.¶E-mail: bruzzo@sissa.it, , , , , , IT

    U. Bruzzo

  3. Mathematical Institute, University of Oxford, 24–29 St. Giles', Oxford OX1 3LB, UK.¶E-mail: sanguine@maths.ox.ac.uk, , , , , , UK

    G. Sanguinetti

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  1. C. Bartocci
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  2. U. Bruzzo
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  3. G. Sanguinetti
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Received: 20 October 1998 / Accepted: 15 March 1999

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Bartocci, C., Bruzzo, U. & Sanguinetti, G. Categorial Mirror Symmetry for K3 Surfaces. Comm Math Phys 206, 265–272 (1999). https://doi.org/10.1007/s002200050705

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  • DOI: https://doi.org/10.1007/s002200050705

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