60 citations · 291 across the 64 of their papers we have counts for
5 papers · 2 filters
Hom and Ext, Revisited
Hailong Dao, Mohammad Eghbali, Justin Lyle
Let be a commutative Noetherian local ring and be finitely generated -modules. We prove a number of results of the form: if $\mbox{Hom}_R(M,N)$ has some nice propertie…
Symbolic powers of ideals
Hailong Dao, Alessandro De Stefani, Eloísa Grifo +2
We survey classical and recent results on symbolic powers of ideals. We focus on properties and problems of symbolic powers over regular rings, on the comparison of symbolic and re…
Length of local cohomology of powers of ideals
Hailong Dao, Jonathan Montaño
Let be a polynomial ring over a field with irrelevant ideal and dimension . Let be a homogeneous ideal in . We study the asymptotic behavior of the leng…
The Type Defect of a Simplicial Complex
Hailong Dao, Jay Schweig
Fix a field . When is a simplicial complex on vertices with Stanley-Reisner ideal , we define and study an invariant called the of . Excep…
The multiplicity and the number of generators of an integrally closed ideal
Hailong Dao, Ilya Smirnov
Let be a Noetherian local ring and a -primary ideal. In this paper, we study an inequality involving the number of generators, the Loewy length…