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Results tagged with ag.algebraic-geometry
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user 118586
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
9
votes
1
answer
357
views
Pulling Back Cohen-Macaulay Sheaves
Suppose $f:X\to Y$ is a finite morphism of varieties and $\mathcal{F}$ is a Cohen-Macaulay sheaf on $Y$. Under what conditions on $f$ is $f^*\mathcal{F}$ Cohen-Macaulay?
4
votes
1
answer
313
views
Inclusion-Exclusion for Coherent Sheaves
Let $X$ be a (reduced) affine variety with two irreducible components, $X_1$ and $X_2$, and let $\mathcal{E}$ be a torsion-free coherent sheaf on $X$. Denote the pullbacks of $\mathcal{E}$ to the clos …