Abstract
Some of the facts immediately surrounding the Weierstrass Gap Theorem are not true when restated for the Noether Gap Theorem. For example, the sum of two Noether non-gaps need not be a non-gap. On the other hand, like Weierstrass points, Noether sequences form an analytic set of codimension 1. In fact, both can be described as the zero loci of appropriate differentials. In addition, the gap sequences on a hyperelliptic surface are of special type and, for arbitrary surfaces, a "principle of non-degeneracy" holds.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
