arXiv subjects
Publications and source records attributed to Roy Mikael Skjelnes.
We describe explicitly how certain standard opens of the Hilbert scheme of points are embedded into Grassmannians. The standard opens of the Hilbert scheme that we consider are given as the intersection of a corresponding basic open affine of the Grassmannian and a closed stratum determined by a Fitting ideal.
We describe the closed strata that defines certain Quot schemes as closed subschemes in Grassmannians. The Quot schemes we consider are those parametrizing finite length $n$ quotient sheaves of the free, rank $p$ sheaf on projective $r$-space.
We introduce a concept that we call module restriction, which generalizes the classical Weil restriction. We first establish some fundamental properties, as existence and étaleness. Then we apply our results to show that Grothendiecks Quot functor parameterizing finite and flat quotients of a given quasi-coherent sheaf on a separated algebraic space, is representable.