TY - JOUR
T1 - Categorial mirror symmetry for K3 surfaces
JF - Comm. Math. Phys. 206 (1999) 265-272
Y1 - 1999
A1 - Claudio Bartocci
A1 - Ugo Bruzzo
A1 - Guido Sanguinetti
AB - 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 $\\\\hat X$.
PB - Springer
UR - http://hdl.handle.net/1963/2887
U1 - 1813
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - JOUR
T1 - Mirror Symmetry on K3 Surfaces as a Hyper-Kähler Rotation
JF - Lett. Math. Phys. 45 (1998) 295-301
Y1 - 1998
A1 - Ugo Bruzzo
A1 - Guido Sanguinetti
AB - 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.
PB - Springer
UR - http://hdl.handle.net/1963/2888
U1 - 1812
U2 - Mathematics
U3 - Mathematical Physics
ER -