On an unusual conjecture of Kontsevich and variants of Castelnuovo's lemma

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dc.creatorLandsberg, J. M.
dc.date1996-04-29
dc.date1996-07-30
dc.date.accessioned2026-07-07T09:01:43Z
dc.date.available2026-07-07T09:01:43Z
dc.descriptionLet $A=(a^i_j)$ be an orthogonal matrix with no entries zero. Let $B=(b^i_j)$ be the matrix defined by $b^i_j=\frac 1{a^i_j}$. M. Kontsevich conjectured that the rank of $B$ is never equal to three. We interpret this conjecture geometrically and prove it. The geometric statment can be understood as a generalization of the Castelnouvo lemma and Brianchon's theorem.
dc.descriptionamstex
dc.identifierhttps://arxiv.org/abs/alg-geom/9604023
dc.identifierhttp://arxiv.org/abs/alg-geom/9604023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148375
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject14m210
dc.titleOn an unusual conjecture of Kontsevich and variants of Castelnuovo's lemma
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