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Dimension of moduli stack and moduli space of sheaves on surface

Let $X$ be a smooth projective surface and $H$ be an ample divisor on $X$. Let $M(r;c_1, c_2)$ be the moduli space of $S$ equivalence class of slope semistable (w.r.to $H$), rank $r$ torsion free shea …
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4 votes
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On globally generated vector bundles over a smooth projective surface

If $\mathcal F$ is a coherent sheaf on a projective space $\mathbb P^n$ such that it is $m$-regular i.e. $H^i(\mathbb P^n, \mathcal F(m-i))=0$ for all $i>0$, then there exists a proposition in the lit …
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