Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Distribution of Weierstrass Points on Rational Cuspidal Curves

  • John B. Little
  • Journal:
    Canadian Mathematical Bulletin / Volume 33 / Issue 2 / 01 June 1990
    Published online by Cambridge University Press:
    20 November 2018, pp. 184-189
    Print publication:
    01 June 1990
    • Article
      • You have access
    • PDF
    • Export citation

  • We study the set W(𝓛) of Weierstrass points of all positive tensor powers of an invertible sheaf 𝓛 on an irreducible rational curve X with g ≧ 2 ordinary cusps. Using an idea from B. Olsen's study of the analogous question on smooth curves, and an explicit formula for the "theta function" of a cuspidal rational curve, we show that W(𝓛) is never dense on X (in contrast to the case of smooth curves of genus g ≧ 2).

  • Weierstrass Points on Rational Nodal Curves of Genus 3

  • R. F. Lax, Carl Widland
  • Journal:
    Canadian Mathematical Bulletin / Volume 30 / Issue 3 / 01 September 1987
    Published online by Cambridge University Press:
    20 November 2018, pp. 286-294
    Print publication:
    01 September 1987
    • Article
      • You have access
    • PDF
    • Export citation

  • We determine, except for one unsettled case, which combinations of Weierstrass weights can occur on irreducible rational nodal curves of arithmetic genus three. It is shown that the number of nonsingular Weierstrass points on such curves can be any integer between 0 and 6, except 1.