Scorza quartics of trigonal spin curves and their varieties of power sums

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dc.creatorTakagi, Hiromichi
dc.creatorZucconi, Francesco
dc.date2008-01-11
dc.date.accessioned2026-07-07T08:53:48Z
dc.date.available2026-07-07T08:53:48Z
dc.descriptionOur fundamental result is the construction of new subvarieties in the varieties of power sums for the Scorza quartic of any general pairs of trigonal curves and non-effective theta characteristics. This is a generalization of Mukai's description of smooth prime Fano threefolds of genus twelve as the varieties of power sums for plane quartics. Among other applications, we give an affirmative answer to the conjecture of Dolgachev and Kanev on the existence of the Scorza quartic for any general pairs of curves and non-effective theta characteristics.
dc.identifierhttps://arxiv.org/abs/0801.1760
dc.identifierhttp://arxiv.org/abs/0801.1760
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145754
dc.subjectAlgebraic Geometry
dc.subject14J45; 14N05; 14H42
dc.titleScorza quartics of trigonal spin curves and their varieties of power sums
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