Equidistant liftings of elementary abelian Galois covers of curves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2015
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916662340485120 |
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| author | Turchetti, Daniele |
| author_facet | Turchetti, Daniele |
| contents | In this paper, we discuss the local lifting problem for the action of elementary abelian groups. Studying logarithmic differential forms linked to deformations of $(μ_p)^n$-torsors, we show necessary conditions on the set of ramification points in order to get equidistant liftings. Such conditions of combinatoric nature lead us to show new obstructions to lifting actions of Z/3Z x Z/3Z. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1510_06453 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Equidistant liftings of elementary abelian Galois covers of curves Turchetti, Daniele Number Theory 11D88, 14E20, 14G17 In this paper, we discuss the local lifting problem for the action of elementary abelian groups. Studying logarithmic differential forms linked to deformations of $(μ_p)^n$-torsors, we show necessary conditions on the set of ramification points in order to get equidistant liftings. Such conditions of combinatoric nature lead us to show new obstructions to lifting actions of Z/3Z x Z/3Z. |
| title | Equidistant liftings of elementary abelian Galois covers of curves |
| topic | Number Theory 11D88, 14E20, 14G17 |
| url | https://arxiv.org/abs/1510.06453 |