60 citations · 291 across the 64 of their papers we have counts for
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Necessary conditions for the depth formula over Cohen-Macaulay local rings
Hailong Dao, Olgur Celikbas
Let be a Cohen-Macaulay local ring and let and be non-zero finitely generated -modules. We investigate necessary conditions for the depth formula $\depth(M)+\depth(N…
Vanishing of Ext, cluster tilting modules and finite global dimension of endomorphism rings
Hailong Dao, Craig Huneke
Let R be a Cohen-Macaulay ring and M a maximal Cohen-Macaulay R-module. Inspired by recent striking work by Iyama, Burban-Iyama-Keller-Reiten and Van den Bergh we study the questio…
Asymptotic Behavior of Ext functors for modules of finite complete intersection dimension
Olgur Celikbas, Hailong Dao
Let be a local ring, and let and be finitely generated -modules such that has finite complete intersection dimension. In this paper we define and study, under ce…
Picard groups of punctured spectra of dimension three local hypersurfaces are torsion-free
Hailong Dao
Let (R,m) be a local ring and U_R=Spec(R) -{m} be the punctured spectrum of R. Gabber conjectured that if R is a complete intersection of dimension 3, then the abelian group Pic(U_…