The tangent space at a special symplectic instanton bundle on P^{2n+1}

dc.creatorDionisi, Carla
dc.date1997-07-10
dc.date.accessioned2026-07-07T09:07:21Z
dc.date.available2026-07-07T09:07:21Z
dc.descriptionLet $MI_{Simp,P^{2n+1}}(k)$ be the moduli space of stable symplectic instanton bundles on $P^{2n+1}$ with second Chern class $c_2=k$ (it is a closed subscheme of the moduli space $MI_{P^{2n+1}}(k)$), We prove that the dimension of its Zariski tangent space at a special (symplectic) instanton bundle is $2k(5n-1)+4n^2-10n+3, k\geq 2$. It follows that special symplectic instanton bundles are smooth points for $ k \leq 3 $
dc.descriptionLatex, 11 pages, to appear in Annali di Matematica
dc.identifierhttps://arxiv.org/abs/alg-geom/9707011
dc.identifierhttp://arxiv.org/abs/alg-geom/9707011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150340
dc.subjectAlgebraic Geometry
dc.subject14D20 (Primary) 14F05 (Secondary)
dc.titleThe tangent space at a special symplectic instanton bundle on P^{2n+1}
dc.typetext

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