On entropy of $\mathbb{P}$-twists
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912191208226816 |
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| author | Fan, Yu-Wei |
| author_facet | Fan, Yu-Wei |
| contents | We show that the $\mathbb{P}$-twist associated to any $\mathbb{P}$-object of a smooth project variety is not conjugate to a standard autoequivalence. This result is obtained by computing the categorical entropy functions of $\mathbb{P}$-twists. We also determine the categorical polynomial entropy of spherical twists and $\mathbb{P}$-twists, under an additional assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1801_10485 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On entropy of $\mathbb{P}$-twists Fan, Yu-Wei Algebraic Geometry Dynamical Systems We show that the $\mathbb{P}$-twist associated to any $\mathbb{P}$-object of a smooth project variety is not conjugate to a standard autoequivalence. This result is obtained by computing the categorical entropy functions of $\mathbb{P}$-twists. We also determine the categorical polynomial entropy of spherical twists and $\mathbb{P}$-twists, under an additional assumption. |
| title | On entropy of $\mathbb{P}$-twists |
| topic | Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/1801.10485 |