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On the multiplication map of a multigraded algebra

Ivan V. Arzhantsev, Juergen Hausen

math.ACarXiv:math/0607819

Abstract

Given a multigraded algebra A, it is a natural question whether or not for two homogeneous components Au and Av, the product AnuAnv is the whole component Anu+nv for n big enough. We give combinatorial and geometric answers to this question.

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