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

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Limits of complex projective varieties in the Hausdorff topology on closed subsets of CP^n

For each subspace $M$ of degree $d$ homogeneous polynomials let $V(M)$ be the common vanishing locus. Because Grassmannians are compact you can assume your $V_k= V(M_k)$s where the $M_k$s converge to …
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