Codimension One Holomorphic Distributions on the Projective Three-space
نویسندگان
چکیده
منابع مشابه
Regular holomorphic webs of codimension one
Given a d-web of codimension one on a holomorphic n-dimensional manifold M0 (d > n), we assume that, at any point of M0, the d hyperplanes tangent to the local foliations at a point of M0 are distinct, and that there exists n of them in general position (but we do not require any n of them to be in general position). For such a web, we shall define some specific analytical subset S of M0 which ...
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To any d-web of codimension one on a holomorphic n-dimensional manifold M (d > n), we associate an analytic subset S of M . We call ordinary the webs for which S has a dimension at most n− 1 or is empty. This condition is generically satisfied. We prove that the rank of a ordinary d-web has an upper-bound π′(n, d) which, for n ≥ 3, is strictly smaller than the bound π(n, d) of Castelnuovo. This...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2018
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rny251