Isoparametric foliations on complex projective spaces
نویسندگان
چکیده
منابع مشابه
Foliations on Complex Projective Surfaces
In this text we shall review the classification of foliations on complex projective surfaces according to their Kodaira dimension, following McQuillan’s seminal paper [MQ1] with some complements and variations given by [Br1] and [Br2]. Most of the proofs will be only sketched, and the text should be considered as guidelines to the above works (and related ones), with no exhaustivity nor selfcon...
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Isoparametric submanifolds and hypersurfaces in space forms are geometric objects that have been studied since É. Cartan. Another important class of geometric objects is the orbits of polar actions on a Riemannian manifold, e.g., the orbits of the adjoint action of a compact Lie group on itself. These two classes of submanifolds share some common properties. For example, they are leaves of sing...
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This manuscript is a revised version of my Master’s thesis which was originally written in 1992 and was presented to the Mathematics Department of University of Tehran. My initial goal was to give, in a language accessible to non-experts, highlights of the 1978 influential paper of Il’yashenko on singular holomorphic foliations on CP [I3], providing short, self-contained proofs. Parts of the ex...
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We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of modu...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-06415-5