The abelian fibration on the Hilbert cube of a K3 surface of genus 9

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dc.creatorIliev, Atanas
dc.creatorRanestad, Kristian
dc.date2005-07-01
dc.date.accessioned2026-07-07T05:21:18Z
dc.date.available2026-07-07T05:21:18Z
dc.descriptionIn this paper we construct an abelian fibration over ${\bf P}^3$ on the Hilbert cube of the primitive K3 surface of genus 9. After the abelian fibration constructed by Mukai on the Hilbert square on the primitive K3 surface S of genus 5, this is the second example where the abelian fibration on such Hilb_n(S) is directly constructed. Our example is also the first known abelian fibration on a Hilbert scheme Hilb_n(S) of a primitive K3 surface S which is not the Hilbert square of S; the primitive K3 surfaces on the Hilbert square of which such a fibration exists are known by a recent result of Hassett and Tschinkel.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0507016
dc.identifierhttp://arxiv.org/abs/math/0507016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75643
dc.subjectAlgebraic Geometry
dc.subject14J32, 14D06
dc.titleThe abelian fibration on the Hilbert cube of a K3 surface of genus 9
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