On the multiplication map of a multigraded algebra

• Autores: Ivan V. Arzhantsev, Jürgen Hausen
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 1, 2007, págs. 129-136
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n1.a11
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• Resumen

  • 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.