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 F(X) is equivalent to a subcategory of the derived category D((X) over cap) of coherent sheaves on the mirror K3 surface (X) over cap.
Categorial mirror symmetry on K3 surfaces / Bartocci, C.; Bruzzo, U.; Sanguinetti, G.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 206:2(1999), pp. 265-272. [10.1007/s002200050705]
Categorial mirror symmetry on K3 surfaces
Bruzzo, U.;
1999-01-01
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 F(X) is equivalent to a subcategory of the derived category D((X) over cap) of coherent sheaves on the mirror K3 surface (X) over cap.File in questo prodotto:
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