Bifurcation Lake
Trivial remarks on algebraic geometry and other mathematics
November 12, 2016
Tangent space to moduli space of sheaves
Let $X$ be a projective variety. Suppose that the moduli space $\mathcal M$ of nice sheaves with fixed rank and Hilbert polynomial exists. Then
$$T_{[E]}\mathcal M=\mathrm{Ext}^1(E, E).$$
For a partial proof see
Hartshorne
Lectures on Deformation Theory
, theorem 2.6
From
MO:253578
.
No comments:
Post a Comment
Newer Post
Older Post
Home
Subscribe to:
Post Comments (Atom)

## No comments:

## Post a Comment