The separability of the Gauss map and the reflexivity for a projective surface

DOI10.1007/s00209-006-0085-0zbMath1118.14058OpenAlexW2017644634MaRDI QIDQ884963

Satoru Fukasawa, Hajime Kaji

Publication date: 7 June 2007

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

Full work available at URL: https://doi.org/10.1007/s00209-006-0085-0

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Projective techniques in algebraic geometry (14N05) Projective differential geometry (53A20)

Related Items (8)

Biduality and reflexivity in positive characteristic ⋮ Transverse lines to surfaces over finite fields ⋮ 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 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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• 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
• Algebraic geometry and local differential geometry
• On Kleiman–Piene's question for Gauss maps

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