23 citations · 58 across the 13 of their papers we have counts for
13 papers
Morse-Bott functions on orthogonal groups
H. Işıl Bozma, William D. Gillam, Ferit Öztürk
We make a detailed study of various (quadratic and linear) Morse-Bott trace functions on the orthogonal groups . We describe the critical loci of the quadratic trace function…
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.…
Log differentiable spaces and manifolds with corners
W. D. Gillam, Samouil Molcho
We develop a general theory of log spaces, in which one can make sense of the basic notions of logarithmic geometry, in the sense of Fontaine-Illusie-Kato. Many of our general cons…