English

Faltings' annihilator theorem and t-structures of derived categories

Commutative Algebra 2022-08-10 v1 Representation Theory

Abstract

In this paper, we prove Faltings' annihilator theorem for complexes over a CM-excellent ring. As an application, we give a complete classification of the t-structures of the bounded derived category of finitely generated modules over a CM-excellent ring of finite Krull dimension.

Keywords

Cite

@article{arxiv.2208.04455,
  title  = {Faltings' annihilator theorem and t-structures of derived categories},
  author = {Ryo Takahashi},
  journal= {arXiv preprint arXiv:2208.04455},
  year   = {2022}
}

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8 pages