Abstract
This paper is the description of a computer-assisted search leading to the Theorem 1 All trigonal curves of genus five are classical. Classical here is to be understood in the sense of F.K.Schmidt [9], that is, the vanishing sequence of the canonical line bundle is the classical sequence 0,1,2,3,4. Nonclassical curves are only possible if the characteristic of the field of definition does not exceed 2g — 2 , where g is the genus of the curve, and non-classical curves up to genus 4 were classified by Komiya [7].
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.
