Moduli of (1,7)-polarized abelian surfaces via syzygies

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dc.creatorManolache, N.
dc.creatorSchreyer, F. -O.
dc.date1998-12-19
dc.date.accessioned2026-07-07T05:27:19Z
dc.date.available2026-07-07T05:27:19Z
dc.descriptionWe prove that the moduli space X(1,7) of (1,7)-polarized abelian surfaces with canonical level structure is birational to the Fano 3-fold V22 of polar hexagons of the Klein quartic X(7). In particular X(1,7) is rational and the birational map to P^3 is defined over Q. As a byproduct we obtain explicitely the equations of the (1,7)-very-ample polarized abelian surfaces in P^6.
dc.description20 pages, TeX
dc.identifierhttps://arxiv.org/abs/math/9812121
dc.identifierhttp://arxiv.org/abs/math/9812121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77876
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14K10 (primary), 13D02, 14C05, 14J45 (secondary)
dc.titleModuli of (1,7)-polarized abelian surfaces via syzygies
dc.typetext

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