Nondegenerate multidimensional matrices and instanton bundles

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dc.creatorCosta, Laura
dc.creatorOttaviani, Giorgio
dc.date2001-03-13
dc.date.accessioned2026-07-07T04:40:37Z
dc.date.available2026-07-07T04:40:37Z
dc.descriptionIn this note we prove that the moduli space of rank $2n$ symplectic instanton bundles on ${\PP^{2n+1}}$, defined from the well known monad condition, is affine. This result was not known even in the case $n=1$, where the real instanton bundles correspond to self dual Yang Mills $Sp(1)$-connections over the 4-dimensional sphere. The result is proved as a consequence of the existence of an invariant of the multidimensional matrices representing the instanton bundles.
dc.description9 pages, Latex 2e
dc.identifierhttps://arxiv.org/abs/math/0103078
dc.identifierhttp://arxiv.org/abs/math/0103078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61081
dc.subjectAlgebraic Geometry
dc.subject14D21, 14J60, 15A72
dc.titleNondegenerate multidimensional matrices and instanton bundles
dc.typetext

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