Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations

Mathematics – Algebraic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

AMSTeX, 27 pages, 2 figures; reference added, and minor corrections made

Scientific paper

We consider autoequivalences of the bounded derived category of coherent sheaves on a K3 surface. We prove that the image of the autoequivalences has index at most two in the group of the Hodge isometries of the Mukai lattice. Motivated by homological mirror symmetry we also consider the mirror counterpart, i.e. symplectic version of it. In the case of $\rho(X)=1$, we find an explicit formula which reproduces the number of Fourier-Mukai (FM) partners from the monodromy problem of the mirror K3 family. We present an explicit example in which a monodromy action does not come from an autoequivalence of the mirror side.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-321787

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.