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

[1] NEW SURFACES WITH K2=7 AND pg = q ≤ 2
Rito, Carlos
ASIAN JOURNAL OF MATHEMATICS, 2018, 22 (06) : 1117 - 1126
[2] A family of surfaces with pg = q=2, K2=7 and Albanese map of degree 3
Pignatelli, Roberto
Polizzi, Francesco
MATHEMATISCHE NACHRICHTEN, 2017, 290 (16) : 2684 - 2695
[3] Surfaces with K2=7 and pg=4
Bauer, IC
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 152 (721) : 1 - +
[4] SURFACES WITH K2=2, PG=1, Q=0
CATANESE, F
DEBARRE, O
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1989, 395 : 1 - 55
[5] On surfaces with pg=2, q=1 and K2=5
Tommaso Gentile
Paolo A. Oliverio
Francesco Polizzi
Rendiconti del Circolo Matematico di Palermo, 2012, 61 (1) : 19 - 46
[6] A new family of surfaces of general type with K2=7 and pg=0
Chen, Yifan
MATHEMATISCHE ZEITSCHRIFT, 2013, 275 (3-4) : 1275 - 1286
[7] Some Results on Surfaces with pg = q=1 and K2=2
Lewis, Paul Dunbar
Lyons, Christopher
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (06) : 1878 - 1919
[8] Involutions on surfaces with pg = q = 0 and K2 = 3
Carlos Rito
Geometriae Dedicata, 2012, 157 : 319 - 330
[9] Involutions on surfaces with pg = q=0 and K2=3
Rito, Carlos
GEOMETRIAE DEDICATA, 2012, 157 (01) : 319 - 330
[10] THE TATE CONJECTURE FOR A FAMILY OF SURFACES OF GENERAL TYPE WITH pg = q=1 AND K2=3
Lyons, Christopher
AMERICAN JOURNAL OF MATHEMATICS, 2015, 137 (02) : 281 - 311

← 1 2 3 4 5 →