Simplicial resolutions for the second power of square-free monomial ideals
| Autor: | Cooper, Susan M., Khoury, Sabine El, Faridi, Sara, Mayes-Tang, Sarah, Morey, Susan, Şega, Liana M., Spiroff, Sandra |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Given a square-free monomial ideal $I$, we define a simplicial complex labeled by the generators of $I^2$ which supports a free resolution of $I^2$. As a consequence, we obtain (sharp) upper bounds on the Betti numbers of the second power of any square-free monomial ideal. |
| Databáze: | arXiv |
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