ENRIQUES SURFACES COVERED BY JACOBIAN KUMMER SURFACES

被引：11

作者：

Ohashi, Hisanori ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Sakyo Ku, Kyoto 6068502, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2009年 / 195卷

关键词：

AUTOMORPHISMS;

D O I：

10.1017/S0027763000009764

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper classifies Enriques surfaces whose K3-cover is a fixed Picard-general Jacobian Kummer surface. There are exactly 31 Such Surfaces. We describe the free involutions which give these Enriques surfaces explicitly. As a biproduct, we show that Aut(X) is generated by elements of order 2, which is an improvement of the theorem of S. Kondo.

引用

页码：165 / 186

页数：22

共 17 条

[1]

[Anonymous], B AM MATH SOC

[2]

[Anonymous], B AM MATH SOC

[3] AUTOMORPHISMS OF ENRIQUES SURFACES [J].

BARTH, W ;

PETERS, C .

INVENTIONES MATHEMATICAE, 1983, 73 (03) :383-411

[4]

Bourbaki N, ELEMENTS MATH

[5]

Conway J. H., 1999, Fundamental Principles of Mathematical Sciences, V290

[6] Birational automorphisms of quartic Hessian surfaces [J].

Dolgachev, I ;

Keum, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (08) :3031-3057

[7]

GONZALEZDORREGO MR, 1994, MEM AM MATH SOC, V107, pR5

[8]

Hutchinson J., 1901, B AM MATH SOC, V7, P211, DOI DOI 10.1090/S0002-9904-1901-00785-9

[9]

KELIN F, 1886, MATH ANN, V27, P106

[10] EVERY ALGEBRAIC KUMMER SURFACE IS THE K3-COVER OF AN ENRIQUES SURFACE [J].

KEUM, JH .

NAGOYA MATHEMATICAL JOURNAL, 1990, 118 :99-110

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