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math.AC2026
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.AC2026
Generalized binomial edge ideals are Cartwright-Sturmfels
Aldo Conca, Emanuela De Negri, Volkmar Welker
Binomial edge ideals associated to a simple graph G were introduced by Herzog and collaborators and, independently, by Ohtani. They became an ``instant classic" in combinatorial co…
math.AC2025
Invariants of toric double determinantal rings
Jennifer Biermann, Emanuela De Negri, Oleksandra Gasanova +2
We study a class of double determinantal ideals denoted , which are generated by minors of size 2, and show that they are equal to the Hibi rings of certain finite distri…