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

dc.date.accessioned	2020-08-07T17:53:08Z
dc.date.available	2020-08-07T17:53:08Z
dc.date.created	2020-06-22T13:08:38Z
dc.date.issued	2020
dc.identifier.citation	Ottem, John Christian Gounelas, Frank . Remarks on the positivity of the cotangent bundle of a K3 surface. Épijournal de Géométrie Algébrique (EPIGA). 2020, 4(8)
dc.identifier.uri	http://hdl.handle.net/10852/78188
dc.description.abstract	Using recent results of Bayer–Macrì, 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 semistable (and hence not nef). In particular, this leads to a counterexample to a question of Campana–Peternell.
dc.language	EN
dc.publisher	Association de l'Épijournal de géométrie algébrique
dc.rights	Attribution-ShareAlike 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by-sa/4.0/
dc.title	Remarks on the positivity of the cotangent bundle of a K3 surface
dc.type	Journal article
dc.creator.author	Ottem, John Christian
dc.creator.author	Gounelas, Frank
cristin.unitcode	185,15,13,0
cristin.unitname	Matematisk institutt
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.cristin	1816592
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Épijournal de Géométrie Algébrique (EPIGA)&rft.volume=4&rft.spage=&rft.date=2020
dc.identifier.jtitle	Épijournal de Géométrie Algébrique (EPIGA)
dc.identifier.volume	4
dc.identifier.issue	8
dc.identifier.urn	URN:NBN:no-81297
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	2491-6765
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/78188/2/epiga_vol4_gounelas-ottem.pdf
dc.type.version	PublishedVersion
dc.relation.project	NFR/250104