The separability of the Gauss map versus the reflexivity

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3 Citations (Scopus)

Abstract

In projective algebraic geometry, various pathological phenomena in positive characteristic have been observed by several authors. Many of those phenomena concerning the behavior of embedded tangent spaces seem to be controlled by the separability of (the extension of function fields defined by) the Gauss map, or by the reflexivity with respect to the projective dual for a projective variety. The purpose of this paper is to survey the studies on the relationship between the separability of the Gauss map and the reflexivity for a projective variety: Is the separability of the Gauss map equivalent to the reflexivity for a projective variety?

Original languageEnglish
Pages (from-to)75-82
Number of pages8
JournalGeometriae Dedicata
Volume139
Issue number1
DOIs
Publication statusPublished - 2009 Apr 1

Keywords

  • Conormal map
  • Conormal variety
  • Dual variety
  • Gauss map
  • Reflexive
  • Separable

ASJC Scopus subject areas

  • Geometry and Topology

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