Rationally connected $3$-folds and symplectic geometry

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dc.creatorVoisin, Claire
dc.date2008-01-09
dc.date2008-03-27
dc.date.accessioned2026-07-07T09:28:35Z
dc.date.available2026-07-07T09:28:35Z
dc.descriptionWe study the following question, asked to us By Pandharipande and Starr: Let $X$ be a rationally connected $3$-fold, and $Y$ be a compact Kaehler $3$-fold symplectically equivalent to it. Is $Y$ rationally connected? We show that the answer is positive if $X$ is Fano or $b_2(X)\leq2$.
dc.descriptionNew final version. The statement is improved, thanks to the help of Jason Starr. Indeed, the result holds now for general syplectic equivalence, and not the restricted notion of symplectic equivalence we used before
dc.identifierhttps://arxiv.org/abs/0801.1396
dc.identifierhttp://arxiv.org/abs/0801.1396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157478
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.titleRationally connected $3$-folds and symplectic geometry
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