The separability of the Gauss map versus the reflexivity

Hajime Kaji*

*この研究の対応する著者

研究成果査読

3 被引用数 (Scopus)

抄録

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?

本文言語English
ページ(範囲)75-82
ページ数8
ジャーナルGeometriae Dedicata
139
1
DOI
出版ステータスPublished - 2009 4

ASJC Scopus subject areas

  • 幾何学とトポロジー

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