Surfaces of general type with geometric genus zero: a survey

被引：46
作者：
Bauer, Ingrid [1 ]
Catanese, Fabrizio [1 ]
Pignatelli, Roberto [2 ]
机构：
[1] Univ Bayreuth, Math Inst, Lehrstuhl Math 8, Univ Str 30, D-95447 Bayreuth, Germany
[2] Univ Trent, Dipartimento Matemat Della, I-38123 Trento, Italy
来源：
COMPLEX AND DIFFERENTIAL GEOMETRY | 2011年 / 8卷
关键词：
Surfaces of general type with genus 0; Godeaux surfaces; Campedelli surfaces; Burniat surfaces; Bloch conjecture; Actions of finite groups; SIMPLY CONNECTED SURFACE; NUMERICAL CAMPEDELLI SURFACES; STRONG RIGIDITY THEOREM; FUNDAMENTAL GROUP; RATIONAL EQUIVALENCE; ALGEBRAIC-SURFACES; BICANONICAL MAP; MODULI SPACES; P(G)=0; DEFORMATION;
D O I：
10.1007/978-3-642-20300-8_1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the last years there have been several new constructions of surfaces of general type with p(g) = 0, and important progress on their classification. The present paper presents the status of the art on surfaces of general type with p(g) = 0, and gives an updated list of the existing surfaces, in the case where K-2 = 1,..., 7. It also focuses on certain important aspects of this classification.
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页码：1 / +
页数：8
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