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arXiv · 1606.05891

Multigraded regularity, reduction vectors and postulation vectors

Parangama Sarkar
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Abstract

We relate the set of complete reduction vectors of a $\mathbb{Z}^s$-graded admissible filtration of ideals $\mathcal{F}$ with the set of multigraded regularities of $G(\mathcal{F}).$ We prove reg$(G(\mathcal{F}))$=reg$(\mathcal{R}(\mathcal{F})).$ We establish a relation between the sets of complete reduction vectors of $\mathcal{F}$ and postulation vectors of $\mathcal{F}$ under some cohomological conditions.

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Parangama Sarkar. 2016-06-19. Multigraded regularity, reduction vectors and postulation vectors. https://arxiv.org/abs/1606.05891

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