A note on the subadditivity of Syzygies
| Autor: | Khoury, Sabine El, Srinivasan, Hema |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $R=S/I$ be a graded algebra with $t_i$ and $T_i$ being the minimal and maximal shifts in the minimal $S$ resolution of $R$ at degree $i$. In this paper we prove that $t_n\leq t_1+T_{n-1}$, for all $n$ and as a consequence, we show that for Gorenstein algebras of codimension $h$, the subadditivity of maximal shifts $T_i$ in the minimal resolution holds for $i \geq h-1$, i.e, we show that $T_i \leq T_a+T_{i-a}$ for $i\geq h-1$. Comment: 4 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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