English

Torsion functors with monomial support

Commutative Algebra 2014-04-03 v3 Algebraic Geometry

Abstract

The dependence of torsion functors on their supporting ideals is investigated, especially in the case of monomial ideals of certain subrings of polynomial algebras over not necessarily Noetherian rings. As an application it is shown how flatness of quasicoherent sheaves on toric schemes is related to graded local cohomology.

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Cite

@article{arxiv.1207.0610,
  title  = {Torsion functors with monomial support},
  author = {Fred Rohrer},
  journal= {arXiv preprint arXiv:1207.0610},
  year   = {2014}
}

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updated references

R2 v1 2026-06-21T21:29:36.512Z