173 citations · 472 across the 28 of their papers we have counts for
4 papers · 1 filter
The orbifold Chow ring of toric Deligne-Mumford stacks
Lev A. Borisov, Linda Chen, Gregory G. Smith
Generalizing toric varieties, we introduce toric Deligne-Mumford stacks which correspond to combinatorial data. The main result in this paper is an explicit calculation of the orbi…
Syzygies of projective toric varieties
Hal Schenck, Gregory G. Smith
This paper has been subsumed by math.AG/0502240
Uniform bounds on multigraded regularity
Diane Maclagan, Gregory G. Smith
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth projective toric variety X with a given multigraded Hilbert polynomial. To establish thi…
Multigraded Castelnuovo-Mumford Regularity
Diane Maclagan, Gregory G. Smith
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we work with modules over a polynomial ring graded by a finitely generated abelian…