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Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.
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Dualizing sheaf of reducible variety?
Sorry for my poor English.
Let $X$ be a reducible projective variety.
My question is:
How can I compute the dualizing sheaf of $X$ and express it in an explicit way?
Is there a method to get dual …
3
votes
blow up of segre primal and $\mathcal{M}_{0,6}$
As Steven said, there is a morphism $\overline M_{0,6} \to \tilde{X}$ because the inverse image sheaf of the ideal of double points generates a Cartier divisor.
Now $\tilde{X}$ is nonsingular, so to c …