4 citations · 6 across the 6 of their papers we have counts for
6 papers
Galois closures and elementary components of Hilbert schemes of points
Matthew Satriano, Andrew P. Staal
Bhargava and the first-named author of this paper introduced a functorial Galois closure operation for finite-rank ring extensions, generalizing constructions of Grothendieck and K…
Small elementary components of Hilbert schemes of points
Matthew Satriano, Andrew P. Staal
We answer an open problem posed by Iarrobino in the '80s: is there an elementary component of the Hilbert scheme of points with dimension less than…
Hilbert Schemes with Two Borel-fixed Points in Arbitrary Characteristic
Andrew P. Staal
We extend the recent classification of Hilbert schemes with two Borel-fixed points to arbitrary characteristic. We accomplish this by synthesizing Reeves' algorithm for generating…
Some Singular Lex-Segments
Andrew P. Staal
We study the component structures of some standard-graded Hilbert schemes closely related to a Hilbert scheme of curves studied by Gotzmann. In particular, we encounter examples of…
The Ubiquity of Smooth Hilbert Schemes
Andrew P. Staal
We investigate the geography of Hilbert schemes parametrizing closed subschemes of projective space with specified Hilbert polynomials. We classify Hilbert schemes with unique Bore…
Singularities of log varieties via jet schemes
Kalle Karu, Andrew Staal
We study logarithmic jet schemes of a log scheme and generalize a theorem of M. Mustata from the case of ordinary jet schemes to the logarithmic case. If X is a normal local comple…