SEVERI VARIETIES AND SELF-RATIONAL MAPS OF K3 SURFACES

被引：10

作者：

Dedieu, Thomas ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math Jussieu, Equipe Topol & Geometrie Algebr, UMR 7586, F-75013 Paris, France

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2009年 / 20卷 / 12期

关键词：

Severi varieties; self-rational maps; K3; surfaces; CURVES; FAMILIES; NUMBER;

D O I：

10.1142/S0129167X09005844

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Self-rational maps of generic algebraic K3 surfaces are conjectured to be trivial. We relate this conjecture to a conjecture concerning the irreducibility of the universal Severi varieties parameterizing nodal curves of given genus and degree lying on some K3 surface. We also establish a number of numerical constraints satisfied by such nontrivial rational maps, that is of topological degree > 1.

引用

页码：1455 / 1477

页数：23

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