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Varieties with non-linear Gauss fibers

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Publication:818546
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DOI10.1007/s00208-005-0688-5zbMath1093.14073OpenAlexW2076381717MaRDI QIDQ818546

Satoru Fukasawa

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: http://ir.lib.hiroshima-u.ac.jp/00017229


zbMATH Keywords

Gauss mapGauss mappinggeneric fiberseparable degree


Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05)


Related Items (6)

On general fibers of Gauss maps in positive characteristic ⋮ Duality with expanding maps and shrinking maps, and its applications to Gauss maps ⋮ Existence of a non-reflexive embedding with birational Gauss map for a projective variety ⋮ The separability of the Gauss map versus the reflexivity ⋮ Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map ⋮ On separable higher Gauss maps



Cites Work

  • Unnamed Item
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  • The uniform position principle for curves in characteristic p
  • Developable varieties in positive characteristic
  • Varieties with nonconstant Gauss fibers
  • Tangency and Duality Over Arbitrary Fields
  • On the Tangentially Degenerate Curves
  • Gauss maps with nontrivial separable degree in positive characteristic


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