Marked Godeaux surfaces with special bicanonical fibers

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Frank Olaf Schreyer
  • Isabel Stenger

Organisationseinheiten

Externe Organisationen

  • Universität des Saarlandes
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Details

OriginalspracheEnglisch
Aufsatznummer107765
Seitenumfang23
FachzeitschriftJournal of Pure and Applied Algebra
Jahrgang228
Ausgabenummer12
Frühes Online-Datum2 Juli 2024
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 2 Juli 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.

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Marked Godeaux surfaces with special bicanonical fibers. / Schreyer, Frank Olaf; Stenger, Isabel.
in: Journal of Pure and Applied Algebra, Jahrgang 228, Nr. 12, 107765, 12.2024.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Schreyer FO, Stenger I. Marked Godeaux surfaces with special bicanonical fibers. Journal of Pure and Applied Algebra. 2024 Dez;228(12):107765. Epub 2024 Jul 2. doi: 10.48550/arXiv.2201.12065, 10.1016/j.jpaa.2024.107765
Schreyer, Frank Olaf ; Stenger, Isabel. / Marked Godeaux surfaces with special bicanonical fibers. in: Journal of Pure and Applied Algebra. 2024 ; Jahrgang 228, Nr. 12.
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