Categorial mirror symmetry for K3 surfaces

Authors
Bartocci, C Bruzzo, U Sanguinetti, G
Citation
C. Bartocci et al., Categorial mirror symmetry for K3 surfaces, COMM MATH P, 206(2), 1999, pp. 265-272
Citations number
21
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
206
Issue
2
Year of publication
1999
Pages
265 - 272
Database
ISI
SICI code
0010-3616(199910)206:2<265:CMSFKS>2.0.ZU;2-G
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 s ection, 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 surfa ce (X) over cap.