Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstrass cubics

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dc.creatorBurban, Igor
dc.creatorKreussler, Bernd
dc.date2004-01-30
dc.date2004-10-15
dc.date.accessioned2026-07-07T05:04:59Z
dc.date.available2026-07-07T05:04:59Z
dc.descriptionWe completely describe all semi-stable torsion free sheaves of degree zero on nodal cubic curves using the technique of Fourier-Mukai transforms. The Fourier-Mukai images of such sheaves are torsion sheaves of finite length, which we compute explicitly. We show how to obtain an SL(2,Z)-action (up to shifts) on the bounded derived category of coherent sheaves on any Weierstass cubic.
dc.descriptionminor changes; to appear in J. Reine Angew. Math.; 42 pages
dc.identifierhttps://arxiv.org/abs/math/0401437
dc.identifierhttp://arxiv.org/abs/math/0401437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70020
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject18E30, 14H60
dc.titleFourier-Mukai transforms and semi-stable sheaves on nodal Weierstrass cubics
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