Explicit solution by radicals, gonal maps and plane models of algebraic curves of genus 5 or 6

Authors:
Michael Harrison
Affiliations:
University of Sydney, Carslaw Building, Camperdown Campus, Sydney, Australia
Venue:
Journal of Symbolic Computation
Year:
2013

Citing 3
Cited 0

The MAGMA algebra system I: the user language

Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Strategies for computing minimal free resolutions

Journal of Symbolic Computation
Computing Riemann---Roch spaces in algebraic function fields and related topics

Journal of Symbolic Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

We give explicit computational algorithms to construct minimal degree (always ==7. We also construct minimal degree birational plane models and show how the existence of degree 6 plane models for genus 6 curves is related to the gonality and geometric type of a certain auxiliary surface.