7 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AG2003★ 7 cited
Comments on toric varieties
Howard M Thompson
Here are few notes on not necessarily normal toric varieties and resolution by toric blow-up. These notes are independent of, but in the same spirit as the earlier preprint arXiv:m…
math.AG2003★ 5 cited
Fan is to monoid as scheme is to ring: a generalization of the notion of a fan
Howard M Thompson
Following DeMeyer, Ford & Miranda [DFM93], we define a topology on a fan by declaring open sets to be its subfans. Then, like Kato [Kat94], we make our fans into monoided spaces by…
math.AC2003
Toric singularities revisited
Howard M Thompson
In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is lo…