HYPERPLANARITY OF THE EQUIMULTIPLE LOCUS
Abstract
It is known that the equimultiple locus of a hypersurface is hyperplanar (a) in characteristic zero; (b) in the purely inseparable case of surfaces, when the multiplicity = p > 0. We extend this to (a) the purely inseparable case of surfaces when the multiplicity in p('n), any n. (b) the case of double points of surfaces when p = 2. We give an example to show that the equimultiple locus is not hyperplanar for hypersurfaces of dimension bigger than two in positive characteristic.
Degree
Ph.D.
Subject Area
Mathematics
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