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Homological properties of bigraded algebras

Tim Roemer
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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.

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Tim Roemer. 2000-11-24. Homological properties of bigraded algebras. https://doi.org/10.1215/ijm/1258138072

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