Compact Kahler surfaces with trivial canonical bundle

被引：4

作者：

Buchdahl, N ^{[1
]}

机构：

[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2003年 / 23卷 / 02期

关键词：

Complex; 2-torus; K3; surface; Kähler surface; Period map; Torelli theorem;

D O I：

10.1023/A:1022557004624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical conjectures of Weil on K3 surfaces - that the set of such surfaces is connected; that a version of the Torelli theorem holds; that each such surface is Kahler; and that the period map is surjective - are reconsidered in the light of a generalisation of the Nakai-Moishezon criterion, and short proofs of all the conjectures are given. Most of the proofs apply equally or with minor variation to complex 2-tori, the only other compact Kahler surfaces with trivial canonical bundle.

引用

页码：189 / 204

页数：16

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