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math.AC2026
Ranks of Verdier quotients of derived categories over local rings
Souvik Dey, Yuki Mifune
Let be a commutative noetherian local ring with residue field . Denote by the bounded derived category of finitely generated -modules. In…
math.AC2026
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…
math.AC2026
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…