Algebraic surfaces with pg <bold>= </bold>q <bold>= </bold>1, K2 <bold>= </bold>4 and genus 3 Albanese fibration

被引：0
|
作者：
Ling, Songbo [1 ,2 ]
机构：
[1] Peking Univ, Sch Math Sci, Yiheyuan Rd 5, Beijing 100871, Peoples R China
[2] Univ Bayreuth, Lehrstuhl Math 8, NW 2,Univ Str 30, D-95447 Bayreuth, Germany
来源：
MANUSCRIPTA MATHEMATICA | 2019年 / 158卷 / 3-4期
关键词：
MODULI SPACE; COMPONENTS;
D O I：
10.1007/s00229-018-1028-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Gieseker moduli space M-1,1(4,3) of minimal surfaces with p(g) = q = 1, K-2 = 4 and genus 3 Albanese fibration. Under the assumption that direct image of the canonical sheaf under the Albanese map is decomposable, we find two irreducible components of M-1,1(4,3), one of dimension 5 and the other of dimension 4.
引用
收藏
页码：547 / 571
页数：25
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