Marked Godeaux surfaces with special bicanonical fibers
- Resource Type
- Working Paper
- Authors
- Schreyer, Frank-Olaf; Stenger, Isabel
- Source
- Subject
- Mathematics - Algebraic Geometry
14J10, 14J29, 13D02
- Language
In this paper we study marked numerical Godeaux surfaces with special bicanonical fibers. Based on our construction method of marked Godeaux surfaces we give a complete characterization for the existence of hyperelliptic bicanonical fibers and torsion fibers. Moreover, we describe how the families of Reid and Miyaoka with torsion $\mathbb{Z}/3\mathbb{Z}$ and $\mathbb{Z}/5\mathbb{Z}$ arise in our homological setting.
Comment: 26 pages. The content of this paper was part of the original paper on arXiv:2009.05357 which we have divided into two parts