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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

1 vote
0 answers
190 views

dimension of spaces of rational curves in a variety!

Do you know calculate the dimension of the space of rational curves of degree m, through d given points, contained in some projective variety?
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5 votes
1 answer
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How to compute cohomology groups of a closed subscheme Z of projective space, defined by a h...

Let $Z = \mathrm{Proj}\,k[x_{0},x_{1},\ldots,x_{r}]/f$ be a closed subscheme of degree $d$, i.e., $f$ is a homogeneous polynomial of degree $d$, and $\mathcal{O}_{Z}(1)=i^{*}\mathcal{O}_\mathbb{P}(1)$ …
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