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math.AC2018
On asymptotic vanishing behavior of local cohomology
Hailong Dao, Jonathan Montaño
Let be a standard graded algebra over a field , with irrelevant maximal ideal $\fm$, and a homogeneous -ideal. We study the asymptotic vanishing behavior of the grade…
math.AC2018
Splittings and symbolic powers of square-free monomial Ideals
Jonathan Montaño, Luis Núñez-Betancourt
We study the symbolic powers of square-free monomial ideals via symbolic Rees algebras and methods in prime characteristic. In particular, we prove that the symbolic Rees algebra a…