3 papers
math.AC2025
Lifting Frobenius splittings through geometric vertex decomposition
Emanuela De Negri, Elisa Gorla, Patricia Klein +2
Frobenius splitting, pioneered by Hochster and Roberts in the 1970s and Mehta and Ramanathan in the 1980s, is a technique in characteristic commutative algebra and algebraic ge…
math.AC2022
Radical support for multigraded ideals
Aldo Conca, Emanuela De Negri, Elisa Gorla
Can one tell if an ideal is radical just by looking at the degrees of the generators? In general, this is hopeless. However, there are special collections of degrees in multigraded…
cs.CR2020
Semi-regular sequences and other random systems of equations
M. Bigdeli, E. De Negri, M. M. Dizdarevic +3
The security of multivariate cryptosystems and digital signature schemes relies on the hardness of solving a system of polynomial equations over a finite field. Polynomial system s…