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Mathematics > Algebraic Geometry

Title: Non-existence of tensor t-structures on singular noetherian schemes

Abstract: We show that there are no non-trivial tensor t-structures on the category of perfect complexes of a singular irreducible finite-dimensional noetherian scheme. To achieve this, we establish some technical results on Thomason filtrations and corresponding tensor t-structures.
Comments: 5 pages, comments are welcome
Subjects: Algebraic Geometry (math.AG); Category Theory (math.CT)
MSC classes: 14F08 (Primary) 18G80 (Secondary)
Cite as: arXiv:2404.08578 [math.AG]
  (or arXiv:2404.08578v1 [math.AG] for this version)

Submission history

From: Kabeer Manali Rahul [view email]
[v1] Fri, 12 Apr 2024 16:23:21 GMT (8kb)

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