Pencils of double coverings of curves
Luis Fuentes Garcia
Abstract
Let X be a smooth curve of genus g. When pi>=3g and d>=pi-2g+1 we show the existence of a double covering gamma:C-->X where C a smooth curve of genus pi with a base-point-free pencil of degree d which is not the pull-back of a pencil on X.
Create a lesson
Related papers
Morphism spaces on low degree hypersurfaces
Hrishabh Mishra
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
Michał Kapustka, Marco Rampazzo, Prajwal Samal
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
Connor Stewart
The Hurwitz existence problem in prime degree
Jijian Song, Hailin Wen, Zebao Zhang
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
Andrew Obus, Padmavathi Srinivasan, Connor Stewart