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On the multiplication map of a multigraded algebra

Ivan V. Arzhantsev·Juergen Hausen
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Abstract

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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Ivan V. Arzhantsev, Juergen Hausen. 2006-12-10. On the multiplication map of a multigraded algebra. https://arxiv.org/abs/math/0607819

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