9 citations · 22 across the 10 of their papers we have counts for
13 papers
Classifying Smooth Quot Schemes
Roy Skjelnes, Gregory G. Smith, Michael Stillman
The Quot scheme parametrizes the quotients of the trivial vector bundle of rank on -dimensional projective space th…
Smooth Hilbert schemes: their classification and geometry
Roy Skjelnes, Gregory G. Smith
Closed subschemes in projective space with a fixed Hilbert polynomial are parametrized by a Hilbert scheme. We classify the smooth ones. We identify numerical conditions on a polyn…
The space of twisted cubics
Katharina Heinrich, Roy Skjelnes, Jan Stevens
We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM…
Explicit projective embeddings of standard opens of the Hilbert scheme of points
Roy Mikael Skjelnes, Gustav Sædén Ståhl
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 giv…
Quot schemes in Grassmannians
Roy Mikael Skjelnes
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 quotie…
Weil Restriction and the Quot scheme
Roy Mikael Skjelnes
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…