Article ID Journal Published Year Pages File Type
4583932 Journal of Algebra 2016 9 Pages PDF
Abstract

A general fiber of the Gauss map of a projective variety in PNPN coincides with a linear subvariety of PNPN in characteristic zero. In positive characteristic, S. Fukasawa showed that a general fiber of the Gauss map can be a non-linear variety. In this paper, we show that each irreducible component of such a possibly non-linear fiber of the Gauss map is contracted to one point by the degeneracy map, and is contained in a linear subvariety corresponding to the kernel of the differential of the Gauss map. We also show the inseparability of Gauss maps of strange varieties not being cones.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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