An Artin--Mumford criterion for conic bundles in characteristic two
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917959099744256 |
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| author | Ambrosi, Emiliano Ancona, Giuseppe |
| author_facet | Ambrosi, Emiliano Ancona, Giuseppe |
| contents | We prove a characteristic two version of the famous criterion of Artin and Mumford for irrationality of conic bundles. On the one hand, combined with the pathological behaviour of conic bundles in characteristic two, this allows us to construct easier and more explicit examples of irrational conic bundles. On the other hand, degeneration techniques à la Voisin allow to deduce irrationality results in characteristic zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12979 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Artin--Mumford criterion for conic bundles in characteristic two Ambrosi, Emiliano Ancona, Giuseppe Algebraic Geometry Number Theory We prove a characteristic two version of the famous criterion of Artin and Mumford for irrationality of conic bundles. On the one hand, combined with the pathological behaviour of conic bundles in characteristic two, this allows us to construct easier and more explicit examples of irrational conic bundles. On the other hand, degeneration techniques à la Voisin allow to deduce irrationality results in characteristic zero. |
| title | An Artin--Mumford criterion for conic bundles in characteristic two |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2503.12979 |