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Let (X,H) be a polarized smooth projective surface satisfying H^1(X,O_X)=0 and let F be either a rank one torsion-free sheaf or a rank two {\mu}H-stable vector bundle on X. Assume that c_1(F)/=0. In t...
Abstract: Multiview geometry is the study of two-dimensional images of three-dimensional scenes, a foundational subject in computer vision. We determine a universal Groebner basis for the multiview id...
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.
Let R be a polynomial ring and M a finitely generated graded R-module of maximal grade (which means that the ideal It(A) generated by the maximal minors of a homogeneous presentation matrix.
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 ...

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