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Categorial mirror symmetry for K3 surfaces

C. Bartocci, U. Bruzzo, G. Sanguinetti

math-pharXiv:math-ph/9811004

Abstract

We study the structure of a modified Fukaya category F(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 D( X) of coherent sheaves on the mirror K3 surface X.

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