Existence of a non-reflexive embedding with birational Gauss map for a projective variety

DOI10.1002/mana.200610688zbMath1158.14043OpenAlexW2014428767MaRDI QIDQ3537566

Satoru Fukasawa, Hajime Kaji

Publication date: 7 November 2008

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

Full work available at URL: https://doi.org/10.1002/mana.200610688

zbMATH Keywords

Gauss mapreflexivitygenerical smoothness

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Projective differential geometry (53A20)

Related Items (5)

Cubic hypersurfaces admitting an embedding with Gauss map of rank 0 ⋮ The reflexivity of a Segre product of projective varieties ⋮ Projective varieties admitting an embedding with Gauss map of rank zero ⋮ The separability of the Gauss map versus the reflexivity ⋮ Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map

Cites Work

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• Varieties with non-linear Gauss fibers
• The separability of the Gauss map and the reflexivity for a projective surface
• The uniform position principle for curves in characteristic p
• Frobenius non classical curves
• On the duals of Segre varieties
• On the inseparable degrees of the Gauss map and the projection of the conormal variety to the dual of higher order for space curves
• A Remark on Kleiman–Piene's Question for Gauss Maps
• On the Tangentially Degenerate Curves
• On Kleiman–Piene's question for Gauss maps

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