A note on gonality of curves on general hypersurfaces
type: Item
instance of: scholarly article
title: A note on gonality of curves on general hypersurfaces
zbMATH Open document ID: 1391.14092
author: Francesco Bastianelli
author: Ciro Ciliberto
author: Flaminio Flamini
author: Paola Supino
published in: Bollettino dell'Unione Matematica Italiana
publication date: 2018-05-28T00:00:00Z
review text: Let \(X\subset \mathbb {P}^{n+1}\) be a very general hypersurface of degree \(d\geq 2n+2\). This note contains an annoucement on a strong theorem on the minimal gonality of a curve \(C\subset X\) passing through \(x\) (the covering gonality of \(X\)); with a few described exceptions it is \(d -\lfloor \frac{\sqrt{16n+1}-1}{2}\rfloor\). The paper contains a clear description of the relevant literature (also on the minimal genus of a curve contained in \(X\) and containing \(x\)).
reviewed by: E. Ballico
Mathematics Subject Classification ID: 14M07
Mathematics Subject Classification ID: 14H51
zbMATH DE Number: 6875288
zbMATH Keywords: very general hypersurface
zbMATH Keywords: gonality
zbMATH Keywords: covering gonality
zbMATH Keywords: low genus curve
zbMATH Keywords: general point
MaRDI profile type: Publication
full work available at URL: s40574-017-0129-x
OpenAlex ID: W2618272096
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DOI: 10.1007/S40574-017-0129-X
description: scientific article; zbMATH DE number 6875288