6 citations · 15 across the 7 of their papers we have counts for
5 papers · 1 filter
Linearity of Free Resolutions of Monomial Ideals
Hailong Dao, David Eisenbud
We study monomial ideals with linear presentation or partially linear resolution. We give combinatorial characterizations of linear presentation for square-free ideals of degree 3,…
Boundary and shape of Cohen-Macaulay cone
Hailong Dao, Kazuhiko Kurano
Let be a Cohen-Macaulay local domain. In this paper we study the cone of Cohen-Macaulay modules inside the Grothendieck group of finitely generated -modules modulo numerical…
Upper bounds for dimensions of singularity categories
Hailong Dao, Ryo Takahashi
This paper gives upper bounds for the dimension of the singularity category of a Cohen-Macaulay local ring with an isolated singularity. One of them recovers an upper bound given b…
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…