3 papers
math.AC2023
Componentwise Linearity Under Square-Free Gröbner Degenerations
Hongmiao Yu
Using the recent results on square-free Gröbner degenerations by Conca and Varbaro, we proved that if a homogeneous ideal of a polynomial ring is such that its initial ideal $\…
math.AC2022
Lefschetz duality for local cohomology
Matteo Varbaro, Hongmiao Yu
Since the 1974 paper by Peskine and Szpiro, liaison theory via complete intersections, and more generally via Gorenstein varieties, has become a standard tool kit in commutative al…
math.AC2021
N-fiber-full modules
Hongmiao Yu
Let be a Noetherian flat -algebra, an integer and let be a graded -module, we introduce and study "-fiber-full up to " -modules. We prove that an $…