Asian Journal of Mathematics

Volume 22 (2018)

Number 6

New surfaces with K2=7 and pg=q2

Pages: 1117 – 1126

DOI: https://dx.doi.org/10.4310/AJM.2018.v22.n6.a7

Author

Carlos Rito (Universidade de Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real, Portugal; and Departamento de Matemática, Faculdade de Ciências da Universidade do Porto, Portugal)

Abstract

We construct smooth minimal complex surfaces of general type with K2=7 and: pg=q=2, Albanese map of degree 2 onto a (1,2)-polarized abelian surface; pg=q=1 as a double cover of a quartic Kummer surface; pg=q=0 as a double cover of a numerical Campedelli surface with 5 nodes.

Keywords

surface of general type, Albanese map, double covering

2010 Mathematics Subject Classification

14J29

Received 20 January 2016

Accepted 23 March 2017

Published 6 February 2019