2 papers
math.AG2000
Derived Hilbert schemes
I. Ciocan-Fontanine, M. Kapranov
We construct the derived version of the Hilbert scheme parametrizing subschemes in a given projective scheme X with given Hilbert polynomial h. This is a dg-manifold (smooth dg-sch…
math.AG1998
Double affine Hecke algebras and 2-dimensional local fields
M. Kapranov
We give an interpretation of the double affine Hecke algebra of Cherednik as the (suitably regularized) algebra of double cosets of a group G by a subgroup J, extending the well kn…