English

Rolling Factors Deformations and Extensions of Canonical Curves

Algebraic Geometry 2007-05-23 v1

Abstract

A tetragonal canonical curve is the complete intersection of two divisors on a scroll. The equations can be written in `rolling factors' format. For such homogeneous ideals we give methods to compute infinitesimal deformations. Deformations can be obstructed. For the case of quadratic equations on the scroll we derive explicit base equations. They are used to study extensions of tetragonal curves.

Keywords

Cite

@article{arxiv.math/0006189,
  title  = {Rolling Factors Deformations and Extensions of Canonical Curves},
  author = {Jan Stevens},
  journal= {arXiv preprint arXiv:math/0006189},
  year   = {2007}
}

Comments

38 pp., plain TeX