Geometric Syzygies of Canonical Curves of even Genus lying on a K3-Surface

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dc.creatorBothmer, Hans-Christian v.
dc.date2001-08-10
dc.date.accessioned2026-07-07T04:42:56Z
dc.date.available2026-07-07T04:42:56Z
dc.descriptionBased on a recent result of Voisin [2001] we describe the last nonzero syzygy space in the linear strand of a canonical curve C of even genus g=2k lying on a K3 surface, as the ambient space of a k-2-uple embedded P^{k+1}. Furthermore the geometric syzygies constructed by Green and Lazarsfeld [1984] from g^1_{k+1}'s form a non degenerate configuration of finitely many rational normal curves on this P^{k+1}. This proves a natural generalization of Green's conjecture [1984], namely that the geometric syzygies should span the space of all syzygies, in this case.
dc.description29 pages; 5 figures
dc.identifierhttps://arxiv.org/abs/math/0108078
dc.identifierhttp://arxiv.org/abs/math/0108078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62004
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14C20; 14H99; 13D02
dc.titleGeometric Syzygies of Canonical Curves of even Genus lying on a K3-Surface
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