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Explicit log Fano structures on blow-ups of projective spaces

2016; Wiley; Volume: 113; Issue: 4 Linguagem: Inglês

10.1112/plms/pdw034

ISSN

1460-244X

Autores

Carolina Araujo, Alex Massarenti,

Tópico(s)

Homotopy and Cohomology in Algebraic Topology

Resumo

Proceedings of the London Mathematical SocietyVolume 113, Issue 4 p. 445-473 Articles Explicit log Fano structures on blow-ups of projective spaces Carolina Araujo, Carolina Araujo caraujo@impa.br IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, BrazilSearch for more papers by this authorAlex Massarenti, Corresponding Author Alex Massarenti alexmassarenti@id.uff.br Universidade Federal Fluminense, Rua Mário Santos Braga, 24020-140 Niterói, Rio de Janeiro, Brazilalexmassarenti@id.uff.brSearch for more papers by this author Carolina Araujo, Carolina Araujo caraujo@impa.br IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, BrazilSearch for more papers by this authorAlex Massarenti, Corresponding Author Alex Massarenti alexmassarenti@id.uff.br Universidade Federal Fluminense, Rua Mário Santos Braga, 24020-140 Niterói, Rio de Janeiro, Brazilalexmassarenti@id.uff.brSearch for more papers by this author First published: 23 August 2016 https://doi.org/10.1112/plms/pdw034Citations: 14 2010 Mathematics Subject Classification 14J45 (primary), 14E30, 14C20 (secondary). This work was done while the second-named author was a Post-Doctorate at IMPA, funded by CAPES-Brazil. The first-named author was partially supported by CNPq and Faperj Research Fellowships. Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract In this paper, we determine which blow-ups X of P n at general points are log Fano, that is, when there exists an effective Q-divisor Δ such that − ( K X + Δ ) is ample and the pair ( X , Δ ) is klt. For these blow-ups, we produce explicit boundary divisors Δ making X log Fano. Citing Literature Volume113, Issue4October 2016Pages 445-473 RelatedInformation

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