Fibrations of Genus Two on Complex Surfaces

被引：0

作者：

Julio Rebelo

Bianca Santoro

机构：

[1] Université de Toulouse,Institut de Mathématiques de Toulouse

[2] UPS,Mathematics Department

[3] INSA,undefined

[4] UT1,undefined

[5] UT2,undefined

[6] CNRS,undefined

[7] Institut de Mathématiques de Toulouse,undefined

[8] UMR 5219,undefined

[9] The City College of New York,undefined

来源：

Results in Mathematics | 2011年 / 60卷

关键词：

14D06; 32S65; 37F75; Fibrations; holomorphic foliations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This work is devoted to the study of fibrations of genus 2 by using as its main tool the theory of singular holomorphic foliations. In particular we obtain a sharp differentiable version of Matsumoto–Montesinos theory. In the case of isotrivial fibrations, these methods are powerful enough to provide a detailed global picture of the both the ambient surface and of the structure of the fibrations itself.

引用

页码：369 / 403

页数：34

共 10 条

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[2] Pignatelli R.(1963)On compact analytic surfaces, II Ann. Math. 77 563-626
[3] Kodaira K.(1994)Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces Bull. AMS 30 70-75
[4] Matsumoto Y.(1973)The complete classification of fibres in pencils of curves of genus two Manuscr. Math. 9 143-186
[5] Montesinos J.M.(1966)On pencils of curves of genus two Topology 5 355-362
[6] Namikawa Y.(2004)Vertical vector fields on certain complex fibrations J. Math. Sci. Univ. Tokyo 11 177-243
[7] Ueno K.(1968)Reduction of singularities of the differentiable equation Am. J. Math. 90 248-269
[8] Ogg A.P.(undefined) = undefined undefined undefined-undefined
[9] Rebelo J.C.(undefined)undefined undefined undefined undefined-undefined
[10] Seidenberg A.(undefined)undefined undefined undefined undefined-undefined

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