5 papers
Weighted Veronese Rings via Convex Semigroups
Bek Chase, Luca Fiorindo, Thiago Holleben +4
We determine properties of two-dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentation, Gröbner basis, graded…
Multiplicity Volume formula and Newton non-degenerate ideals in regular local rings
TÃ i Huy HÃ, Thai Thanh Nguyen, Vinh Anh Pham
We develop the notions of Newton non-degenerate (NND) ideals and Newton polyhedra for regular local rings. These concepts were first defined in the context of complex analysis. We…
Asymptotic regularity of graded families of ideals
Tai Huy Ha, Hop D. Nguyen, Thai Thanh Nguyen
We show that the asymptotic regularity of a graded family of homogeneous ideals in a reduced standard graded algebra, i.e., the limit $\lim_{n \rightarrow \infty}…
Simplicial complexes and matroids with vanishing
Alexandru Constantinescu, Patricia Klein, Thai Thanh Nguyen +2
We investigate quotients by radical monomial ideals for which , the second cotangent cohomology module, vanishes. The dimension of the graded components of , and thus the…
Resurgence number and convex body associated to pairs of graded families of ideals
Tai Huy Ha, A. V. Jayanthan, Arvind Kumar +1
We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families co…