Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Some remarks on Weierstrass points

Author: James A. Jenkins
Journal: Proc. Amer. Math. Soc. 44 (1974), 121-122
MSC: Primary 30A46
MathSciNet review: 0328063
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The author proves that, at a point $ P$ on a closed Riemann surface of genus $ g$, if $ h$ is the first nongap at $ P$ and $ k$ is relatively prime to $ h$, then $ k$ is a gap if $ g > \tfrac{1}{2}(h - 1)(k - 1)$. A consequence is that at the Weierstrass points of a closed Riemann surface, if the first nongap is a prime, the situation mirrors that in the hyperelliptic case, at least in a limiting sense.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30A46

Retrieve articles in all journals with MSC: 30A46

Additional Information

PII: S 0002-9939(1974)0328063-7
Article copyright: © Copyright 1974 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia