Duality of space curves and their tangent surfaces in characteristic \(p>0\)

DOI10.1007/BF02384338zbMath0766.14022MaRDI QIDQ1192103

Masaaki Homma

Publication date: 27 September 1992

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

characteristic \(p\)reflexivitymultiplicitiesduality of space curvestangent surface

Mathematics Subject Classification ID

Plane and space curves (14H50) Finite ground fields in algebraic geometry (14G15) Projective techniques in algebraic geometry (14N05)

Related Items (6)

Linear systems on curves with no Weierstrass points ⋮ Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields ⋮ On some open problems on maximal curves ⋮ Space curves with degenerate strict duals ⋮ Duality for certain multi-Frobenius nonclassical curves in higher dimensional spaces ⋮ On the space curves with the same image under the Gauss maps

Cites Work

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• Reflexivity of tangent varieties associated with a curve
• Wronskians and linear independence in fields of prime characteristic
• Algebraic curves with non-classical types of gap sequences for genus three and four
• Die Wronskische Determinante in beliebigen differenzierbaren Funktionenkörpern
• Zur arithmetischen Theorie der algebraischen Funktionen. II: Allgemeine Theorie der Weierstraßpunkte
• Wronskians and Plücker formulas for linear systems on curves
• Weierstrass Points and Curves Over Finite Fields
• Funny plane curves in characteristic P > 0
• Smooth curves with smooth dual varieties

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