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On the Hilbert scheme of determinantal subvarieties
Determinantal subvariety Maximal minors Hilbert scheme Projective bundle
2011/2/24
We compute the dimension of the Hilbert scheme of subvarieties of positive dimension in projective space which are defined as vanishing loci of maximal minors of a matrix with polynomial entries.
Non-coherent Components of the Toric Hilbert Scheme
Non-coherent Components Toric Hilbert Scheme
2010/12/9
We want to understand the geometry of all irreducible components of the toric Hilbert scheme. Until now it is known that the coherent component is (up to normalisation)the toric variety associated to ...