Trigonal curves of genus 5, canonical model

Subject

Projective algebraic geometry

Geometric introduction

For a Geometric introduction to genus five trigonal curves, please see Geometric introduction into trigonal curves of genus five, PDF.

(Also, see the many comments in the Macaulay 2 code.)

Programming language

Macaulay2

Synopsis

Construct a random canonically embedded trigonal curve of genus five in $\mathbb{P}^4$.

I am using some ideas of David Eisenbud, who was testing Mark Green's conjecture on minimal resolutions of canonical curves.

Email any suggestions to the , please

Full output with equations, example

Full output, example

Usage

$ M2 trigonal-curve-of-genus-5.m2

Requirements

• M2: Macaulay2 is a free computer algebra system created by Daniel Grayson and Michael Stillman for computation in algebraic geometry

For installation, please see: INSTALL.md

Attributions

Maxim Leyenson,

Using ideas of David Eisenbud, in his study of the Mark Green conjectures on minimal resolutions of canonical curves.

License

This code is distributed under the BSD 4-Clause "Original" or "Old" License, see the LICENSE file. (That is, mention my name somewhere when you are forking the code. I am looking for a job!)