Theorems of Barth-Lefschetz type on Kaehler manifolds of non-negative bisectional curvature

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dc.creatorKim, Meeyoung
dc.creatorWolfson, Jon
dc.date2001-02-09
dc.date2001-09-06
dc.date.accessioned2026-07-07T04:40:06Z
dc.date.available2026-07-07T04:40:06Z
dc.descriptionTheorems of Barth-Lefschetz type describe restrictions on the topology of varieties of small codimension. R. Schoen and J. Wolfson, using Morse theory on a path space, have described a technique to prove theorems of this kind for complex submanifolds of Kähler manifolds of non-negative holomorphic bisectional curvature. In this paper this program is carried out for the compact Hermitian symmetric spaces. The key technical point is to define and compute an invariant, called the {\it complex positivity}, that measures the ``amount'' of positive curvature, in a suitable sense.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0102081
dc.identifierhttp://arxiv.org/abs/math/0102081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60924
dc.subjectAlgebraic Geometry
dc.subject14
dc.titleTheorems of Barth-Lefschetz type on Kaehler manifolds of non-negative bisectional curvature
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