On the multiplication map of a multigraded algebra

Details On the multiplication map of a multigraded algebra On the multiplication map of a multigraded algebra

2006-07-31

arxiv.org/abs/math/0607819v2

Math. Res. Lett. 14, No. 1, 129-136 (2007)

Mathematics

Commutative Algebra

Minor changes, 7 pages, to appear in Math. Res. Lett

Scientific paper

Given a multigraded algebra $A$, it is a natural question whether or not for
two homogeneous components $A_u$ and $A_v$, the product $A_{nu}A_{nv}$ is the
whole component $A_{nu+nv}$ for $n$ big enough. We give combinatorial and
geometric answers to this question.

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