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On Smooth Projective D-Affine Varieties

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dc.abstract.enWe show various properties of smooth projective D-affine varieties. In particular, any smooth projective D-affine variety is algebraically simply connected and its image under a fibration is D-affine. In characteristic 0 such D-affine varieties are also uniruled. We also show that (apart from a few small characteristics) a smooth projective surface is D-affine if and only if it is isomorphic to either P2 or P1×P1⁠. In positive characteristic, a basic tool in the proof is a new generalization of Miyaoka’s generic semipositivity theorem.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorLanger, Adrian
dc.date.accessioned2024-01-25T15:45:41Z
dc.date.available2024-01-25T15:45:41Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.number15
dc.description.volume2021
dc.identifier.doi10.1093/IMRN/RNZ370
dc.identifier.issn1073-7928
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114749
dc.identifier.weblinkhttp://dx.doi.org/10.1093/imrn/rnz370
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofInternational Mathematics Research Notices
dc.relation.pages11889-11922
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn Smooth Projective D-Affine Varieties
dc.typeJournalArticle
dspace.entity.typePublication