3 papers
math.AC2011
Bounding the First Hilbert Coefficient
Krishna Hanumanthu, Craig Huneke
This paper gives new bounds on the first Hilbert coefficient of an ideal of finite colength in a Cohen-Macaulay local ring. The bound given is quadratic in the multiplicity of the…
math.AG2009
Some Koszul Rings from Geometry
Krishna Hanumanthu
We give examples of Koszul rings that arise naturally in algebraic geometry. In the first part, we prove a general result on Koszul property associated to an ample line bundle on a…
math.AG2008
Toroidalization of Locally Toroidal Morphisms from N-folds to Surfaces
Krishna Hanumanthu
The toroidalization conjecture of D. Abramovich, K. Karu, K. Matsuki, and J. Wlodarczyk asks whether any given morphism of nonsingular varieties over an algebraically closed field…