3 papers
math.CO2019
An Eisenbud-Goto-type Upper Bound for the Castelnuovo-Mumford Regularity of Fake Weighted Projective Spaces
Bach Le Tran
We will give an upper bound for the -normality of very ample lattice simplices, and then give an Eisenbud-Goto-type bound for some special classes of projective toric varieties.
math.AG2019
A Reider-type Result for Smooth Projective Toric Surfaces
Bach Le Tran
Let be an ample line bundle over a smooth projective toric surface . Then corresponds to a very ample lattice polytope that encodes many geometric properties of .…
math.AG2017
On -normality and Regularity of Normal Toric Varieties
Bach Le Tran
We give a bound of for a very ample lattice polytope to be -normal. Equivalently, we give a new combinatorial bound for the Castelnuovo-Mumford regularity of normal projecti…