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For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.

3 votes
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95 views

Growth of dimension of a good filtration on finitely generated modules over polynomial rings

Let $S=K[x_1,\cdots,x_s]$ be a polynomial ring over a characteristic zero field $K$. For a partition $\{1, \cdots, s\} = I_1 \sqcup \cdots \sqcup I_r$ of the variable index, let $\mathbb{x}_i^{\mathbb …
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