Newton-Okounkov body, Rees algebra, and analytic spread of graded families of monomial ideals
| Autor: | Ha, Huy Tai, Nguyen, Thai Thanh |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $\mathcal{I} = \{I_k\}_{k \in \mathbb{N}}$ be a graded family of monomial ideal. We use the Newton-Okounkov body of $\mathcal{I}$ to: (a) give a characterization for the Noetherian property of the Rees algebra of the family; and (b) present a combinatorial interpretation for the analytic spread of the family. We also apply these results to investigate the generation type and the Veronese degree of the symbolic Rees algebra of a monomial ideal. Comment: v2 changes: updated results for families of m-primary homogeneous ideals |
| Databáze: | arXiv |
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