Fiberwise stable bundles on elliptic threefolds with relative Picard number one

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dc.creatorCaldararu, Andrei
dc.date2006-01-10
dc.date.accessioned2026-07-07T06:58:45Z
dc.date.available2026-07-07T06:58:45Z
dc.descriptionWe show that fiberwise stable vector bundles are preserved by relative Fourier-Mukai transforms between elliptic threefolds with relative Picard number one. Using these bundles we define new invariants of elliptic fibrations, and we relate the invariants of a space with those of a relative moduli space of stable sheaves on it. As a byproduct, we calculate the intersection form of a certain new example of an elliptic Calabi-Yau threefold.
dc.description4 pages, non-standard format used
dc.identifierhttps://arxiv.org/abs/math/0601234
dc.identifierhttp://arxiv.org/abs/math/0601234
dc.identifierC. R. Acad. Sci. Paris, Ser. I 334 (2002), 469-472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107485
dc.subjectAlgebraic Geometry
dc.subject14D20, 14D22
dc.titleFiberwise stable bundles on elliptic threefolds with relative Picard number one
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