Remarks on the positivity of the cotangent bundle of a K3 surface

Using recent results of Bayer-Macr\`i, we compute in many cases the pseudoeffective and nef cones of the projectivised cotangent bundle of a smooth projective K3 surface. We then use these results to construct explicit families of smooth curves on which the restriction of the cotangent bundle is not...

Full description

Bibliographic Details
Main Authors: Frank Gounelas, John Christian Ottem
Format: Article
Language:English
Published: Association Epiga 2020-06-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/5924/pdf