Show simple item record

dc.contributor.authorDervan, Ruadhaien
dc.contributor.authorEveline, Legendreen
dc.date.accessioned2021-11-10T00:30:35Z
dc.date.available2021-11-10T00:30:35Z
dc.identifier.issn0025-5831
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/330518
dc.description.abstractFujita and Li have given a characterisation of K-stability of a Fano variety in terms of quantities associated to valuations, which has been essential to all recent progress in the area. We introduce a notion of valuative stability for arbitrary polarised varieties, and show that it is equivalent to K-stability with respect to test configurations with integral central fibre. The numerical invariant governing valuative stability is modelled on Fujita's beta invariant, but includes a term involving the derivative of the volume. We give several examples of valuatively stable and unstable varieties, including the toric case. We also discuss the role that the delta invariant plays in the study of valuative stability and K-stability of polarised varieties.
dc.description.sponsorshipRoyal Society University Research Fellowship
dc.publisherSpringer
dc.rightsPublisher's own licence
dc.titleValuative stability of polarised varietiesen
dc.typeArticle
prism.publicationNameMathematische Annalenen
dc.identifier.doi10.17863/CAM.77961
dcterms.dateAccepted2021-09-21en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2021-09-21en
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idRoyal Society (URF\R1\201041)
cam.orpheus.counter29*
rioxxterms.freetoread.startdate2024-11-09


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record