Hyperelliptic jacobians without complex multiplication in positive characteristic

dc.creatorZarhin, Yuri G.
dc.date2001-01-06
dc.date.accessioned2026-07-07T04:39:32Z
dc.date.available2026-07-07T04:39:32Z
dc.descriptionWe prove that in odd characteristic the jacobian of a hyperelliptic curve $y^2=f(x)$ has no nontrivial endomorphisms over an algebraic closure of the ground field if the Galois group of the polynomial $f$ of even degree is ``very big". The case of characteristic zero was previously treated by the author (Math. Res. Letters 7(2000), 123--132).
dc.descriptionLaTeX2e, 6 pages
dc.identifierhttps://arxiv.org/abs/math/0101050
dc.identifierhttp://arxiv.org/abs/math/0101050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60704
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H40; 14K05; 11G30; 11G10
dc.titleHyperelliptic jacobians without complex multiplication in positive characteristic
dc.typetext

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