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

页码：305 / 331

页数：27

共 50 条

[21] Surfaces with K2=2X-2 and pg ≥ 5
Sanchez, Maria Marti
GEOMETRIAE DEDICATA, 2011, 150 (01) : 49 - 61
[22] Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with K2=7, pg=0
Bauer, Ingrid
Catanese, Fabrizio
GEOMETRY AND ARITHMETIC, 2012, : 23 - +
[23] SURFACES WITH K2=8, pg=4 AND CANONICAL INVOLUTION
Bauer, Ingrid C.
Pignatelli, Roberto
OSAKA JOURNAL OF MATHEMATICS, 2009, 46 (03) : 799 - 820
[24] The moduli space of even surfaces of general type with K2=8, pg=4 and q=0
Catanese, Fabrizio
Liu, Wenfei
Pignatelli, Roberto
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2014, 101 (06): : 925 - 948
[25] Algebraic surfaces with pg = q=1,K2=4 and nonhyperelliptic Albanese fibrations of genus 4
Ling, Songbo
COMMUNICATIONS IN ALGEBRA, 2020, 48 (02) : 595 - 608
[26] Rational configurations in K3 surfaces and simply-connected pg=1 surfaces with K2=1, 2, 3, 4, 5, 6, 7, 8, 9
Reyes, Javier
Urzua, Giancarlo
MATHEMATISCHE ZEITSCHRIFT, 2022, 302 (04) : 2435 - 2467
[27] Surfaces with χ=5,K2=9 and a canonical involution
Lin, Zhiming
COMMUNICATIONS IN ALGEBRA, 2018, 46 (02) : 810 - 828
[28] Algebraic surfaces of general type with K2=3Pg - 5
Ling, Songbo
COMMUNICATIONS IN ALGEBRA, 2022, 50 (05) : 1942 - 1960
[29] A note on a family of surfaces with pg=q=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p_g=q=2$$\end{document} and K2=7\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K^2=7$$\end{document}
Matteo Penegini
Roberto Pignatelli
Bollettino dell'Unione Matematica Italiana, 2022, 15 (1-2) : 305 - 331
[30] Godeaux, Campedelli, and surfaces of general type with χ=4 and 2 ≤ K2 ≤ 8
Iqbal, Sohail
MATHEMATISCHE NACHRICHTEN, 2017, 290 (14-15) : 2296 - 2307

← 1 2 3 4 5 →