Year: 2024
Type: article
Abstract: In this paper, we construct two deformations of the Godeaux surface with π1≅Z4, such that each central fibre contains a family of conics. We show that surfaces that are birational to these Godeaux surfaces exist in two connected components of the moduli space of the Campedelli surfaces with a fundamental group of order 8. The whole construction is simplified by the use of key varieties.
Source: Mathematics
DOI: 10.3390/math12193123
Authors: Haseeb Wali, Sohail Iqbal
Institution: COMSATS University Islamabad
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4403172184