A note on a family of surfaces with pg = q=2 and K2=7

被引：0
|
作者：
Penegini, Matteo [1 ]
Pignatelli, Roberto [2 ]
机构：
[1] Univ Genoa, DIMA Dipartimento Matemat, I-16146 Genoa, Italy
[2] Univ Trento, Dipartimento Matemat, I-38123 Trento, Italy
来源：
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2022年 / 15卷 / 1-2期
关键词：
Surface of general type; Albanese map; Moduli spaces; ALBANESE MAP; GENERAL TYPE; MODULI; CLASSIFICATION; VARIETIES;
D O I：
10.1007/s40574-021-00305-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a family of surfaces of general type with p(g) = q = 2 and K-2 = 7, originally constructed by C. Rito in [35]. We provide an alternative construction of these surfaces, that allows us to describe their Albanese map and the corresponding locus M in the moduli space of surfaces of general type. In particular we prove that M is an open subset, and it has three connected components, all of which are 2-dimensional, irreducible and generically smooth
引用
收藏
页码：305 / 331
页数：27
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