Homological properties of bigraded algebras

Details Homological properties of bigraded algebras Homological properties of bigraded algebras

2000-11-24

arxiv.org/abs/math/0011211v2

Ill. J. Math. 45, No. 4, 1361-1376 (2001)

Mathematics

Commutative Algebra

14 pages

Scientific paper

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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