This short paper concerns the existence of curves with low gonality on smooth hypersurfaces (Formula presented.). After reviewing a series of results on this topic, we report on a recent progress we achieved as a product of the Workshop Birational geometry of surfaces, held at University of Rome Tor Vergata on January 11th-15th, 2016. In particular, we obtained that if (Formula presented.) is a very general hypersurface of degree (Formula presented.), the least gonality of a curve (Formula presented.) passing through a general point of X is (Formula presented.), apart from some exceptions we list.
Bastianelli, F., Ciliberto, C., Flamini, F., Supino, P. (2018). A note on gonality of curves on general hypersurfaces. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 11(1), 31-38 [10.1007/s40574-017-0129-x].
A note on gonality of curves on general hypersurfaces
Supino, Paola
2018-01-01
Abstract
This short paper concerns the existence of curves with low gonality on smooth hypersurfaces (Formula presented.). After reviewing a series of results on this topic, we report on a recent progress we achieved as a product of the Workshop Birational geometry of surfaces, held at University of Rome Tor Vergata on January 11th-15th, 2016. In particular, we obtained that if (Formula presented.) is a very general hypersurface of degree (Formula presented.), the least gonality of a curve (Formula presented.) passing through a general point of X is (Formula presented.), apart from some exceptions we list.| File | Dimensione | Formato | |
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