Non-classical Gorenstein curves of arithmetic genus three and four

DOI10.1007/BF02571918zbMath0862.14020MaRDI QIDQ1895755

Elisabete Sousa Freitas, Karl-Otto Stöhr

Publication date: 29 August 1995

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

Full work available at URL: https://eudml.org/doc/174743

zbMATH Keywords

prime characteristicarithmetic genusnon-classical non-hyperelliptic Gorenstein curves

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15)

Related Items (7)

Higher order differentials and Weierstrass points on Gorenstein curves ⋮ On a geometric description of \(\text{Gal}(\bar{\mathbb Q}_p/\mathbb Q_p)\) and a \(p\)-adic avatar of \(\widehat{GT}\) ⋮ Non-classical trigonal curves ⋮ Fibrations by nonsmooth genus three curves in characteristic three ⋮ Nonclassical Gorenstein curves. ⋮ Fibrations by curves with more than one nonsmooth point ⋮ Curves of Genus Three in Characteristic Two

Cites Work

• Weierstrass points on certain non-classical curves
• Weierstrass points on Gorenstein curves
• Weierstrass gap sequences and moduli varieties of trigonal curves
• On Rosenlicht's generalization of Riemann-Roch theorem and generalized Weierstrass points
• Algebraic curves with non-classical types of gap sequences for genus three and four
• Zur arithmetischen Theorie der algebraischen Funktionen. II: Allgemeine Theorie der Weierstraßpunkte
• Equivalence relations on algebraic curves
• On the arithmetic genera and the effective genera of algebraic curves
• Weierstrass Points and Curves Over Finite Fields
• On the poles of regular differentials of singular curves

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