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

2 votes
1 answer
154 views

Need references on moduli of subvarieties of given dimension and degree of the projective sp...

Hello, I need to understand the moduli of subvarieties of given dimension and degree of the projective space P^N. Is there any good place to look into? Thank you.
nono's user avatar
  • 165
9 votes
4 answers
2k views

Reference needed for negative curves on blowup of the projective plane at generic points

Hello, I usually see the following theorem without seeing any reference or explanation Theorem: Let X be a blowup of $P^2$ at generic r points. If $r\leq 8$ then there are only finitely many (-1) cu …
nono's user avatar
  • 165
5 votes
1 answer
3k views

Reference needed for projection from a linear subspace (projecting cone)

Hello, I want to find a good reference on projecting cone, which is described below: Let $X$ be an irreducible subvariety of a projective space $\mathbb{P}^n$ (over $\mathbb{C}$ or in general an alge …
nono's user avatar
  • 165