Toward a conjecture of Tan and Tu on fibered general type surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| Soggetti: | |
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| _version_ | 1866912635040038912 |
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| author | Huitrado-Mora, A. Castaneda-Salazar, M. Zamora, A. G. |
| author_facet | Huitrado-Mora, A. Castaneda-Salazar, M. Zamora, A. G. |
| contents | Given a semistable non-isotrivial fibered surface $f:X\to \mathbb{P}^1$ it was conjectured by Tan and Tu that if $X$ is of general type, then $f$ admits at least $7$ singular fibers. In this paper we prove this conjecture in several particular cases, i.e. assuming $f$ is obtained from blowing-up the base locus of a transversal pencil on an exceptional minimal surface $S$ or assuming that $f$ is obtained as the blow-up of the base locus of a transversal and adjoint pencil on a minimal surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1604_00050 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Toward a conjecture of Tan and Tu on fibered general type surfaces Huitrado-Mora, A. Castaneda-Salazar, M. Zamora, A. G. Algebraic Geometry Given a semistable non-isotrivial fibered surface $f:X\to \mathbb{P}^1$ it was conjectured by Tan and Tu that if $X$ is of general type, then $f$ admits at least $7$ singular fibers. In this paper we prove this conjecture in several particular cases, i.e. assuming $f$ is obtained from blowing-up the base locus of a transversal pencil on an exceptional minimal surface $S$ or assuming that $f$ is obtained as the blow-up of the base locus of a transversal and adjoint pencil on a minimal surface. |
| title | Toward a conjecture of Tan and Tu on fibered general type surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1604.00050 |