Stevens, Jan

Rolling factors deformations and extensions of canonical curves

Doc. Math., J. DMV 6, 185-226 (2001)


Summary: 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.

Mathematics Subject Classification

14B07, 14H51, 14J28, 32S30


tetragonal curves, rolling factors, K3 surfaces