23 citations · 58 across the 13 of their papers we have counts for
5 papers · 1 filter
Deformation of quotients on a product
W. D. Gillam
We consider the general problem of deforming a surjective map of modules over a coproduct sheaf of rings when the domain module $E = B_1 \otimes…
Maximal subbundles, quot schemes, and curve counting
W. D. Gillam
Let be a rank 2, degree vector bundle over a genus curve . The loci of stable pairs on in class fixed by the scaling action are expressed as products of $…
Logarithmic stacks and minimality
W. D. Gillam
Given a category fibered in groupoids over schemes with a log structure, one produces a category fibered in groupoids over log schemes. We classify the groupoid fibrations over log…
Localization of ringed spaces
W. D. Gillam
Let be a ringed space together with the data of a set of prime ideals of for each point . We introduce the localization of , which is a loca…
On Kapranov's description of as a Chow quotient
Noah Giansiracusa, William D. Gillam
We provide a direct proof, valid in arbitrary characteristic, of the result originally proven by Kapranov over , that the Hilbert and Chow quotients $(\mathbb{P}^1)^n//…