4 citations · 6 across the 8 of their papers we have counts for
11 papers
Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
Carles Checa, Michael DiPasquale, Pablo Mazón +5
We study the space of splines where denotes a smoothness distribution and is the fan of a central hyperplan…
Multiplicity Volume formula and Newton non-degenerate ideals in regular local rings
Tài Huy Hà, 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…
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…
Three invariants of geometrically vertex decomposable ideals
Thai Thanh Nguyen, Jenna Rajchgot, Adam Van Tuyl
We study three invariants of geometrically vertex decomposable ideals: the Castelnuovo-Mumford regularity, the multiplicity, and the -invariant. We show that these invariants ca…
Resurgence number of graded families of ideals
Tài Huy Hà, Arvind Kumar, Hop D. Nguyen +1
We define the resurgence and asymptotic resurgence numbers associated to a pair of graded families of ideals in a Noetherian ring. These notions generalize the well-studied resurge…
Duality for asymptotic invariants of graded families
Michael DiPasquale, Thai Thanh Nguyen, Alexandra Seceleanu
The starting point of this paper is a duality for sequences of natural numbers which, under mild hypotheses, interchanges subadditive and superadditive sequences and inverts their…
Chudnovsky's Conjecture and the stable Harbourne-Huneke containment for general points
Sankhaneel Bisui, Thái Thành Nguyên
In our previous work with Grifo and Hà, we showed the stable Harbourne-Huneke containment and Chudnovsky's conjecture for the defining ideal of sufficiently many general points in…
The Initial Degree of Symbolic Powers of Fermat-like Ideals of Planes and Lines Arrangements
Thái Thành Nguyên
We explicitly compute the least degree of generators of all symbolic powers of the defining ideal of Fermat-like configuration of lines in , except for the…
RandomPoints package for Macaulay2
Sankhaneel Bisui, Zhan Jiang, Sarasij Maitra +2
We present {\tt RandomPoints}, a package in \emph{Macaulay2} designed mainly to identify rational and geometric points in a variety over a finite field. We provide tools to estimat…
Demailly's Conjecture and the Containment Problem
Sankhaneel Bisui, Eloísa Grifo, Huy Tài Hà +1
We investigate Demailly's Conjecture for a general set of sufficiently many points. Demailly's Conjecture generalizes Chudnovsky's Conjecture in providing a lower bound for the Wal…
Chudnovsky's Conjecture and the stable Harbourne-Huneke containment
Sankhaneel Bisui, Eloísa Grifo, Huy Tài Hà +1
In this paper, we investigate containment statements between symbolic and ordinary powers and bounds on the Waldschmidt constant of defining ideals of points in projective spaces.…