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4 papers · 2 filters
Bipolynomial Hilbert functions
E. Carlini, M. V. Catalisano, A. V. Geramita
Let X be a closed subscheme and let HF(X,-) and hp(X,-) denote, respectively, the Hilbert function and the Hilbert polynomial of X. We say that X has bipolynomial Hilbert function…
Subspace arrangements, configurations of linear spaces and the quadrics containing them
E. Carlini, M. V. Catalisano, A. V. Geramita
A subspace arrangement in a vector space is a finite collection of vector subspaces. Similarly, a configuration of linear spaces in a projective space is a finite collection of lin…
Moduli of linear representations, symmetric products and the non commutative Hilbert scheme
Francesco Vaccarino
In this survey paper we study the relationships between the coarse moduli space which parameterizes the finite dimensional linear representations of an associative alegebra, the no…
Cohomological Characterization of Vector Bundles on Grassmannians of Lines
Enrique Arrondo, Francesco Malaspina
We introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use this notion to prove some extension of Evans-Griffith criterion to characterize direct su…