From the 1 of 9 linked papers with an AI index.
8 papers · 1 filter
Extremal behavior of ideals of minors
Trung Chau, Michael DeBellevue, Souvik Dey +2
The paper proves that for modules over certain local rings (fiber products and artinian stretched Gorenstein rings) the ideals generated by minors in their minimal free resolutions…
Orlov's functors in Macaulay2
Michael K. Brown, Souvik Dey, Geoffrey Fatin +3
Given a commutative and graded Gorenstein ring with associated projective variety , a theorem of Orlov gives fully faithful embeddings from the graded singularity category o…
On Partial Trace Ideals
Souvik Dey, Shinya Kumashiro
We investigate the notion of partial trace ideals, recently introduced by Maitra. We first establish several properties of partial trace ideals and give affirmative answers to ques…
On local rings of finite syzygy representation type
Souvik Dey, Kaito Kimura, Jian Liu +1
Let be a commutative Noetherian local ring. We characterize when its completion has an isolated singularity, thereby strengthening the Dao-Takahashi refinement of the Auslander…
Generation of singularity categories and infinite injective dimension locus via annihilation of cohomologies
Souvik Dey, Jian Liu, Yuki Mifune +1
Let R be a commutative Noetherian ring. We establish a close relationship between the strong generation of the singularity category of R and the nonvanishing of the annihilator of…
Centers of Endomorphism Rings and Reflexivity
Souvik Dey, Justin Lyle
Let be a local ring and let be a finitely generated -module. Appealing to the natural left module structure of over its endomorphism ring and corresponding center $Z…