The strong Franchetta Conjecture in arbitrary characteristics

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dc.creatorSchroeer, Stefan
dc.date2002-03-19
dc.date2003-02-06
dc.date.accessioned2026-07-07T04:47:09Z
dc.date.available2026-07-07T04:47:09Z
dc.descriptionUsing Moriwaki's calculation of the Q-Picard group for the moduli space of curves, I prove the strong Franchetta Conjecture in all characteristics. That is, the canonical class generates the group of rational points on the Picard scheme for the generic curve of genus g>2. Similar results hold for generic pointed curves. Moreover, I show that Hilbert's Irreducibility Theorem implies that there are many other nonclosed points in the moduli space of curves with such properties.
dc.description23 pages, major extension, to appear in Internat. J. Math
dc.identifierhttps://arxiv.org/abs/math/0203186
dc.identifierhttp://arxiv.org/abs/math/0203186
dc.identifierInternat. J. Math. 14 (2003), 371-396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63598
dc.subjectAlgebraic Geometry
dc.subject14G05, 14H10, 14H40, 14K15
dc.titleThe strong Franchetta Conjecture in arbitrary characteristics
dc.typetext

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