Vanishing of Tor over fiber products
| Autor: | Freitas, Thiago H., Pérez, Victor Hugo Jorge, Wiegand, Roger, Wiegand, Sylvia |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $(S,\mathfrak{m},k)$ and $(T,\mathfrak{n},k)$ be local rings, and let $R$ denote their fiber product over their common residue field $k$. Inspired by work of Naseh and Sather-Wagstaff, we explore consequences of vanishing of ${\rm Tor}^R_m(M,N)$ for various values of $m$, where $M$ and $N$ are finitely generated $R$-modules. |
| Databáze: | arXiv |
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