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

[41] A characterization of Burniat surfaces with K2=4 and of non nodal type
YongJoo Shin
Science China Mathematics, 2016, 59 : 839 - 848
[42] ON THE COHOMOLOGY OF SURFACES WITH pg = q=2 AND MAXIMAL ALBANESE DIMENSION
Commelin, Johan
Penegini, Matteo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (03) : 1749 - 1773
[43] A simply connected surface of general type with pg=0 and K2=4
Park, Heesang
Park, Jongil
Shin, Dongsoo
GEOMETRY & TOPOLOGY, 2009, 13 : 1483 - 1494
[44] Deformations and moduli of irregular canonical covers with K2=4pg-8
Bangere, Purnaprajna
Javier Gallego, Francisco
Mukherjee, Jayan
Raychaudhury, Debaditya
REVISTA MATEMATICA COMPLUTENSE, 2024, 37 (02): : 551 - 602
[45] Surfaces of general type with q=2 are rigidified
Liu, Wenfei
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2018, 20 (07)
[46] A COMPLEX SURFACE OF GENERAL TYPE WITH pg=0, K2=2 AND H1 = Z/2Z
Lee, Yongnam
Park, Jongil
MATHEMATICAL RESEARCH LETTERS, 2009, 16 (2-3) : 323 - 330
[47] On flag-transitive 2-(k2,k,λ) $({k}∧{2},k,\lambda )$ designs with λ divide k $\lambda | k$
Montinaro, Alessandro
Francot, Eliana
JOURNAL OF COMBINATORIAL DESIGNS, 2022, 30 (10) : 653 - 670
[48] On the (29,5)-Arcs in PG(2,7) and Some Generalized Arcs in PG(2, q)
Bouyukliev, Iliya
Cheon, Eun Ju
Maruta, Tatsuya
Okazaki, Tsukasa
MATHEMATICS, 2020, 8 (03)
[49] A COMPLEX SURFACE OF GENERAL TYPE WITH pg=0, K2=3 AND H1 = Z/2Z
Park, Heesang
Park, Jongil
Shin, Dongsoo
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (06) : 1269 - 1274
[50] A COMPLEX SURFACE OF GENERAL TYPE WITH pg=0, K2=2 AND H1=Z/4Z
Park, Heesang
Park, Jongil
Shin, Dongsoo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (11) : 5713 - 5736

← 1 2 3 4 5 →