Ordinary holomorphic webs of codimension one
نویسندگان
چکیده
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 bound is optimal.
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تاریخ انتشار 2008