On the multiplication map of a multigraded algebra
classification
🧮 math.AC
math.AG
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algebramultigradedquestionanswerscombinatorialcomponentcomponentsenough
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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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