A remark on a conjecture of Tan

Abstract Let %$f: X\rightarrow {\mathbb {P}}^1%$ be a non-isotrivial semi-stable fibration of %$g\ge 1%$. It is conjectured by Tan that f admits at least 6 singular fibers if g is sufficiently large. In this short note, we show that for %$g\ge 18%$, if there is a separable node in the singular fiber...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Li, Gui-Min [verfasserIn]

Xu, Wan-Yuan

Zhang, Hui-Ting

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2023

Schlagwörter:

Fibration

Singular fiber

Separable node

Irregularity

Anmerkung:

© The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:

Enthalten in: Monatshefte für Mathematik - Wien [u.a.] : Springer, 1890, 202(2023), 4 vom: 18. März, Seite 831-836

Übergeordnetes Werk:

volume:202 ; year:2023 ; number:4 ; day:18 ; month:03 ; pages:831-836

Links:

Volltext

DOI / URN:

10.1007/s00605-023-01841-2

Katalog-ID:

SPR053408543

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