Automorphisms of a symmetric product of a curve (with an appendix by Najmuddin Fakhruddin)
type: Item
instance of: scholarly article
title: Automorphisms of a symmetric product of a curve (with an appendix by Najmuddin Fakhruddin)
zbMATH Open document ID: 1453.14085
author: Indranil Biswas
author: Tomas L. Gómez
published in: Documenta Mathematica
publication date: 2017-11-21T00:00:00Z
review text: Summary: Let \(X\) be an irreducible smooth projective curve of genus \(g>2\) defined over an algebraically closed field of characteristic different from two. We prove that the natural homomorphism from the automorphisms of \(X\) to the automorphisms of the symmetric product \(\mathrm{Sym}^d(X)\) is an isomorphism if \(d>2g-2\). In an appendix, Fakhruddin proves that the isomorphism class of the symmetric product of a curve determines the isomorphism class of the curve.
Mathematics Subject Classification ID: 14H37
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 14J50
zbMATH DE Number: 6810408
zbMATH Keywords: symmetric product
zbMATH Keywords: automorphism
zbMATH Keywords: Torelli theorem
MaRDI profile type: Publication
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DOI: 10.25537/DM.2017V22.1181-1192
description: scientific article; zbMATH DE number 6810408