23 citations · 37 across the 6 of their papers we have counts for
6 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…
The Evaluation Space of Logarithmic Stable Maps
Dan Abramovich, Qile Chen, William D. Gillam +1
The evaluation stack for minimal logarithmic stable maps is constructed, parameterizing families of standard log points in the target log scheme. This construction provides the ing…
The Crepant Resolution Conjecture for 3-dimensional flags modulo an involution
W. D. Gillam
After fixing a non-degenerate bilinear form on a vector space V we define an involution of the manifold of flags F in V by taking a flag to its orthogonal complement. When V is of…