Automorphisms of curves fixing the order two points of the Jacobian

Simple item page
dc.creatorBiswas, Indranil
dc.creatorParameswaran, A. J.
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:31:30Z
dc.date.available2026-07-07T09:31:30Z
dc.descriptionLet X be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic different from two. If X admits a nontrivial automorphism σthat fixes pointwise all the order two points of Pic}^0(X), then we prove that X is hyperelliptic with σbeing the unique hyperelliptic involution. As a corollary, if a nontrivial automorphisms σ' of X fixes pointwise all the theta characteristics on X, then X is hyperelliptic with σ' being its hyperelliptic involution.
dc.identifierhttps://arxiv.org/abs/0804.1599
dc.identifierhttp://arxiv.org/abs/0804.1599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158478
dc.subjectAlgebraic Geometry
dc.subject14H37, 14H40
dc.titleAutomorphisms of curves fixing the order two points of the Jacobian
dc.typetext

Files

Collections

arXiv