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Homological properties of bigraded algebras

Commutative Algebra 2021-05-18 v2

Abstract

We study the x- and y-regularity of a bigraded K-algebra R. These notions are used to study asymptotic properties of certain finitely generated bigraded modules. As an application we get for any equigenerated graded ideal I upper bounds for the number j_0 for which reg(I^j) is a linear function for j >= j_0. Finally we give upper bounds for the x- and y-regularity of generalized Veronese algebras.

Keywords

Cite

@article{arxiv.math/0011211,
  title  = {Homological properties of bigraded algebras},
  author = {Tim Roemer},
  journal= {arXiv preprint arXiv:math/0011211},
  year   = {2021}
}

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14 pages