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UnirationalComponentOf6GonalGenus11Curves :: UnirationalComponentOf6GonalGenus11Curves

UnirationalComponentOf6GonalGenus11Curves

Description

This package implements the methods of the paper 'Unirational component of moduli spaces of 6-gonal genus 11 curves' and serves as supporting code for the computational proofs it contains.

Curves with different number of pencils

Scrolls swept out by pencils

Deformation of curves

  • equisingularDefOfPlaneCurve -- compute the basis of equisingular deformations of a singular plane curve
  • equisingularDefCurveNodes -- compute the first order embedded deformations of a canonical curve induced by equisingular deformations of its nodal plane model
  • equisingularDefCurveTriples -- compute the first order embedded deformations of a canonical curve induced from equisingular deformations of its plane model with triple and double singular points

Verify all the assertions of paper

Caveat

This package requires Macaulay2 Version 1.10 or newer and the package FirstOrderDeformations.m2 by the authors, which should be installed before this one.

Authors

Version

This documentation describes version 1.10 of UnirationalComponentOf6GonalGenus11Curves.

Source code

The source code from which this documentation is derived is in the file UnirationalComponentOf6GonalGenus11Curves.m2.

Exports