Smoothness of the moduli space of complexes of coherent sheaves on an abelian or a projective K3 surface

Details Smoothness of the moduli space of complexes of coherent sheaves on an abelian or a projective K3 surface Smoothness of the moduli space of complexes of coherent sheaves on an abelian or a projective K3 surface

2010-02-02

arxiv.org/abs/1002.0379v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

For an abelian or a projective K3 surface $X$ over an algebraically closed
field $k$, consider the moduli space $\splcpx_{X/k}\uet$ of the objects $E$ in
$D^b(\mathrm{Coh}(X))$ satisfying $\Ext^{-1}_X(E,E)=0$ and $\Hom(E,E)\cong k$.
Then we can prove that $\splcpx_{X/k}\uet$ is smooth and has a symplectic
structure.

Affiliated with

Also associated with

No associations

Rating

Smoothness of the moduli space of complexes of coherent sheaves on an abelian or a projective K3 surface 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 Smoothness of the moduli space of complexes of coherent sheaves on an abelian or a projective K3 surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smoothness of the moduli space of complexes of coherent sheaves on an abelian or a projective K3 surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-706244