3 papers
math.AC2026
Higher syzygy bundles and the Eisenbud-Huneke-Ulrich conjecture
Fuxiang Yang
We study ideals in a polynomial ring with partially linear (virtual) resolutions. We establish an effective bound beyond which their powers coincide with a power of the maximal ide…
math.AC2026
Powers of binary forms and derived Hermite reciprocity
Claudiu Raicu, Steven V Sam, Jerzy Weyman +1
For , Hilbert found in 1886 a collection of polynomial equations that cut out set-theoretically the variety X parametrizing a-th powers of binary forms of degree b. We d…
math.AC2021
Asymptotic Behavior of Differential Powers
Jennifer Kenkel, Lillian McPherson, Janet Page +3
In this paper, we study the differential power operation on ideals. We begin with a focus on monomial ideals in characteristic 0 and find a class of ideals whose differential power…