Birational invariants of volume preserving maps
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913535582273536 |
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| author | Loginov, Konstantin Zhang, Zhijia |
| author_facet | Loginov, Konstantin Zhang, Zhijia |
| contents | We study the group of birational automorphisms of the $n$-dimensional projective space that preserve the standard torus invariant volume form with logarithmic poles. We prove that this group is not generated by pseudo-regularizable maps for $n\geq 4$ over $\mathbb{C}$, and for $n\geq 3$ over number fields. As a corollary, we show that this group is not simple in these cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Birational invariants of volume preserving maps Loginov, Konstantin Zhang, Zhijia Algebraic Geometry We study the group of birational automorphisms of the $n$-dimensional projective space that preserve the standard torus invariant volume form with logarithmic poles. We prove that this group is not generated by pseudo-regularizable maps for $n\geq 4$ over $\mathbb{C}$, and for $n\geq 3$ over number fields. As a corollary, we show that this group is not simple in these cases. |
| title | Birational invariants of volume preserving maps |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.05036 |