Remarks on families of singular curves with hyperelliptic normalizations

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dc.creatorKnutsen, Andreas Leopold
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:48Z
dc.date.available2026-07-07T07:59:48Z
dc.descriptionWe give restrictions on the existence of families of curves on smooth projective surfaces $S$ of nonnegative Kodaira dimension all having constant geometric genus $g \geq 2$ and hyperelliptic normalizations. In particular, we prove a Reider-like result whose proof is ``vector bundle-free'' and relies on deformation theory and bending-and-breaking of rational curves in $\Sym^2(S)$. We also give examples of families of such curves.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0705.0906
dc.identifierhttp://arxiv.org/abs/0705.0906
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128503
dc.subjectAlgebraic Geometry
dc.subject14H10 (14E30, 14H51, 14J10)
dc.titleRemarks on families of singular curves with hyperelliptic normalizations
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