%0 Journal Article %J Comm. Math. Phys. 206 (1999) 265-272 %D 1999 %T Categorial mirror symmetry for K3 surfaces %A Claudio Bartocci %A Ugo Bruzzo %A Guido Sanguinetti %X We study the structure of a modified Fukaya category ${\\\\frak F}(X)$ associated with a K3 surface $X$, and prove that whenever $X$ is an elliptic K3 surface with a section, the derived category of $\\\\fF(X)$ is equivalent to a subcategory of the derived category ${\\\\bold D}(\\\\hat X)$ of coherent sheaves on the mirror K3 surface $\\\\hat X$. %B Comm. Math. Phys. 206 (1999) 265-272 %I Springer %G en_US %U http://hdl.handle.net/1963/2887 %1 1813 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-10T10:27:18Z\\nNo. of bitstreams: 1\\n9811004v2.pdf: 164135 bytes, checksum: 85c711ba84f77d68351d95af3caad50c (MD5) %R 10.1007/s002200050705 %0 Journal Article %J Lett. Math. Phys. 45 (1998) 295-301 %D 1998 %T Mirror Symmetry on K3 Surfaces as a Hyper-Kähler Rotation %A Ugo Bruzzo %A Guido Sanguinetti %X We show that under the hypotheses of Strominger, Yau and Zaslow\\\'s paper, a mirror partner of a K3 surface $X$ with a fibration in special Lagrangian tori can be obtained by rotating the complex structure of $X$ within its hyperk\\\\\\\"ahler family of complex structures. The same hypotheses force the B-field to vanish. %B Lett. Math. Phys. 45 (1998) 295-301 %I Springer %G en_US %U http://hdl.handle.net/1963/2888 %1 1812 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-10T10:35:22Z\\nNo. of bitstreams: 1\\n9802044v2.pdf: 129367 bytes, checksum: 369a1a7e15b37b7dc68701a87a156cd9 (MD5) %R 10.1023/A:1007446916202