Cubic hypersurfaces admitting an embedding with Gauss map of rank 0

DOI10.1016/j.aim.2012.03.006zbMath1281.14043OpenAlexW2050408693MaRDI QIDQ436230

Katsuhisa Furukawa

Publication date: 20 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.03.006

zbMATH Keywords

Gauss mappositive characteristicblow upcubic hypersurfaces

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

• Projective varieties admitting an embedding with Gauss map of rank zero
• Any algebraic variety in positive characteristic admits a projective model with an inseparable Gauss map
• The uniform position principle for curves in characteristic p
• A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
• Existence of a non-reflexive embedding with birational Gauss map for a projective variety
• On the Tangentially Degenerate Curves
• Higher-dimensional algebraic geometry
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