Isotrivial fibred surfaces.

被引：65

作者：

Serrano, F ^{[1
]}

机构：

[1] UNIV BARCELONA,FAC MATEMAT,DEPT ALGEBRA & GEOMETRIA,E-08007 BARCELONA,SPAIN

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1996年 / 171卷

关键词：

D O I：

10.1007/BF01759382

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An isotrivial surface is a smooth projective surface endowed with a morphism onto a curve such that all smooth fibres are isomorphic to each other. Such a surface is birationally isomorphic to a quotient of a product of curves by the action of a finite group. Starting with this birational description, several biregular features are analysed. In particular, the canonical bundle of a particular model is explicitely computed.

引用

页码：63 / 81

页数：19

共 20 条

[1]

Barth W., 1984, COMPACT COMPLEX SURF, V4

[2]

Beauville A., 1978, ASTERISQUE, V54

[3]

DELIGNE P, 1971, PUBL MATH IHES, V40, P5

[4]

Farkas H. M., 1992, GRADUATE TEXTS MATH, V71, DOI DOI 10.1007/978-1-4612-2034-3

[5]

FREITAG E, 1971, J REINE ANGEW MATH, V247, P97

[6]

Fujiki A., 1974, PUBL RES I MATH SCI, V10, P293, DOI DOI 10.2977/PRIMS/1195192183

[7] IMPOSSIBILITY CRITERION OF BEING AN AMPLE DIVISOR [J].

FUJITA, T .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1982, 34 (02) :355-363

[8]

HIRZEBRUCH F, 1953, MATH ANN, V126, P1

[9] CRITICAL POINTS OF AN ALGEBRAIC FUNCTION [J].

IVERSEN, B .

INVENTIONES MATHEMATICAE, 1971, 12 (03) :210-&

[10] ON ELLIPTIC-SURFACES IN CHARACTERISTIC P [J].

KATSURA, T ;

UENO, K .

MATHEMATISCHE ANNALEN, 1985, 272 (03) :291-330

← 1 2 →