Rolling Factors Deformations and Extensions of Canonical Curves

Details Rolling Factors Deformations and Extensions of Canonical Curves Rolling Factors Deformations and Extensions of Canonical Curves

2000-06-26

arxiv.org/abs/math/0006189v1

Mathematics

Algebraic Geometry

38 pp., plain TeX

Scientific paper

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.

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