Vol. 32, No. 3, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Positive holomorphic differentials on Klein surfaces

Newcomb Greenleaf and Walter Read

Vol. 32 (1970), No. 3, 711–713
Abstract

Let X be a compact Klein surface with boundary ∂X, and let β be an orientation of ∂X. We conjecture that there is a holomorphic differential which is positive on p if and only if 8 is not induced by an orientation of X, and we prove this when χ is elliptic or hyperelliptic.

Mathematical Subject Classification
Primary: 30.45
Secondary: 14.00
Milestones
Received: 5 August 1969
Published: 1 March 1970
Authors
Newcomb Greenleaf
Walter Read