Hessian quartic surfaces that are Kummer surfaces

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dc.creatorRosenberg, Joel E.
dc.date1999-03-07
dc.date.accessioned2026-07-07T05:28:14Z
dc.date.available2026-07-07T05:28:14Z
dc.descriptionIn 1899, Hutchinson presented a way to obtain a three-parameter family of Hessians of cubic surfaces as blowups of Kummer surfaces. We show that this family consists of those Hessians containing an extra class of conic curves. Based on this, we find the invariant of a cubic surface C in pentahedral form that vanishes if its Hessian is in Hutchinson's family, and we give an explicit map between cubic surfaces in pentahedral form and blowups of Kummer surfaces.
dc.description12 pages, LaTex/BibTeX
dc.identifierhttps://arxiv.org/abs/math/9903037
dc.identifierhttp://arxiv.org/abs/math/9903037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78184
dc.subjectAlgebraic Geometry
dc.subject14J28
dc.titleHessian quartic surfaces that are Kummer surfaces
dc.typetext

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