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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.

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 …
Moon's user avatar
  • 627
10 votes
2 answers
2k views

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 …