Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Rational nodal curves with no smooth Weierstrass points
HTML articles powered by AMS MathViewer

by Arnaldo Garcia and R. F. Lax PDF
Proc. Amer. Math. Soc. 124 (1996), 407-413 Request permission

Abstract:

Let $X$ denote the rational curve with $n+1$ nodes obtained from the Riemann sphere by identifying 0 with $\infty$ and $\zeta ^j$ with $-\zeta ^j$ for $j=0,1,\dots ,n-1$, where $\zeta$ is a primitive $(2n)$th root of unity. We show that if $n$ is even, then $X$ has no smooth Weierstrass points, while if $n$ is odd, then $X$ has $2n$ smooth Weierstrass points.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 14H55
  • Retrieve articles in all journals with MSC (1991): 14H55
Additional Information
  • Arnaldo Garcia
  • Affiliation: IMPA, Estrada Dona Castorina 110, 22.460 Rio de Janeiro, Brasil
  • Email: garcia@impa.br
  • R. F. Lax
  • Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
  • Email: lax@math.lsu.edu
  • Received by editor(s): September 14, 1994
  • Communicated by: Eric Friedlander
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 407-413
  • MSC (1991): Primary 14H55
  • DOI: https://doi.org/10.1090/S0002-9939-96-03298-4
  • MathSciNet review: 1322924