Positivity of the diagonal

dc.date.accessioned	2019-12-04T19:40:10Z
dc.date.available	2020-07-19T22:46:11Z
dc.date.created	2017-09-14T16:20:49Z
dc.date.issued	2018
dc.identifier.citation	Ottem, John Christian Lehmann, Brian . Positivity of the diagonal. Advances in Mathematics. 2018, 335, 664-695
dc.identifier.uri	http://hdl.handle.net/10852/71178
dc.description.abstract	We study how the geometry of a projective variety X is reflected in the positivity properties of the diagonal ΔX considered as a cycle on X×X. We analyze when the diagonal is big, when it is nef, and when it is rigid. In each case, we give several implications for the geometric properties of X. For example, when the diagonal is big, we prove that the Hodge groups Hk,0(X) vanish for k>0. We also classify varieties of low dimension where the diagonal is nef and big.
dc.description.abstract	Positivity of the diagonal
dc.language	EN
dc.publisher	Academic
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title	Positivity of the diagonal
dc.type	Journal article
dc.creator.author	Ottem, John Christian
dc.creator.author	Lehmann, Brian
cristin.unitcode	185,15,13,0
cristin.unitname	Matematisk institutt
cristin.ispublished	true
cristin.fulltext	preprint
cristin.fulltext	postprint
cristin.qualitycode	2
dc.identifier.cristin	1493900
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=Advances in Mathematics&rft.volume=335&rft.spage=664&rft.date=2018
dc.identifier.jtitle	Advances in Mathematics
dc.identifier.volume	335
dc.identifier.startpage	664
dc.identifier.endpage	695
dc.identifier.doi	https://doi.org/10.1016/j.aim.2018.07.002
dc.identifier.urn	URN:NBN:no-74290
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0001-8708
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/71178/2/posdiag.pdf
dc.type.version	AcceptedVersion
dc.relation.project	NFR/239015
dc.relation.project	NFR/250104