Weierstrass multiple points and ramification points of smooth projective curves

DOI10.1007/BF01759373zbMath0964.14027OpenAlexW1982701796MaRDI QIDQ1568766

N. Delaunay

Publication date: 28 August 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759373

zbMATH Keywords

ramification pointsWeierstrass setsgonal curvesWeierstrass multiple points

Mathematics Subject Classification ID

Riemann surfaces; Weierstrass points; gap sequences (14H55) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

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• On the existence of Weierstrass gap sequences on trigonal curves
• Postulation of canonical curves in \({\mathbb{P}}^ 3\)
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• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• Weierstrass gap sequences and moduli varieties of trigonal curves
• Weierstrass multiple points on algebraic curves and ramified coverings
• Versality for canonical curves and complete intersections
• Weierstrass multiple loci of \(n\)-pointed algebraic curves
• The Weierstrass gap sequence of the ordinary ramification points of trigonal coverings of \({\mathbb{P}}^ 1\); existence of a kind of Weierstrass gap sequence
• On the Kodaira dimension of the moduli space of curves
• On the index of the Weierstrass semigroup of a pair of points on a curve
• The Weierstrass semigroup of a pair of points on a curve
• Wronskians and Plücker formulas for linear systems on curves

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