Details
| Original language | English |
|---|---|
| Article number | 107765 |
| Number of pages | 23 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 228 |
| Issue number | 12 |
| Early online date | 2 Jul 2024 |
| Publication status | Published - Dec 2024 |
Abstract
In this paper we study marked numerical Godeaux surfaces with special bicanonical fibers. Based on the construction method of marked Godeaux surfaces in [12] 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 Z/3Z and Z/5Z arise in our homological setting.
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of Pure and Applied Algebra, Vol. 228, No. 12, 107765, 12.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Marked Godeaux surfaces with special bicanonical fibers
AU - Schreyer, Frank Olaf
AU - Stenger, Isabel
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2024/12
Y1 - 2024/12
N2 - In this paper we study marked numerical Godeaux surfaces with special bicanonical fibers. Based on the construction method of marked Godeaux surfaces in [12] 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 Z/3Z and Z/5Z arise in our homological setting.
AB - In this paper we study marked numerical Godeaux surfaces with special bicanonical fibers. Based on the construction method of marked Godeaux surfaces in [12] 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 Z/3Z and Z/5Z arise in our homological setting.
UR - http://www.scopus.com/inward/record.url?scp=85198163112&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2201.12065
DO - 10.48550/arXiv.2201.12065
M3 - Article
AN - SCOPUS:85198163112
VL - 228
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 12
M1 - 107765
ER -