23 citations · 58 across the 13 of their papers we have counts for
11 papers · 1 filter
The Hausdorff topology as a moduli space
W. D. Gillam, A. Karan
In 1914, F. Hausdorff defined a metric on the set of closed subsets of a metric space . This metric induces a topology on the set of compact subsets of , called the Hausd…
Logarithmic Flatness
W. D. Gillam
A map of fine log schemes induces a map from the scheme underlying to Olsson's algebraic stack of strict morphisms of fine log schemes over . A sheaf on is cal…
Fans
W. D. Gillam
The category of (abstract) fans is to the category of monoids what the category of schemes is to the category of rings: a fan is obtained by gluing spectra of monoids along open em…
A Theory of Stacky Fans
W. D. Gillam, Sam Molcho
We study the category of KM fans - a "stacky" generalization of the category of fans considered in toric geometry - and its various realization functors to "geometric" categories.…
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 $…