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H 1 On the B-Semiampleness Conjecture

Auteurs : Floris, Enrica (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : An lc-trivial fibration $f : (X, B) \to Y$ is a fibration such that the log-canonical divisor of the pair $(X, B)$ is trivial along the fibres of $f$. As in the case of the canonical bundle formula for elliptic fibrations, the log-canonical divisor can be written as the sum of the pullback of three divisors: the canonical divisor of $Y$; a divisor, called discriminant, which contains informations on the singular fibres; a divisor, called moduli part, that contains informations on the variation in moduli of the fibres. The moduli part is conjectured to be semiample. Ambro proved the conjecture when the base $Y$ is a curve. In this talk we will explain how to prove that the restriction of the moduli part to a hypersurface is semiample assuming the conjecture in lower dimension. This is a joint work with Vladimir Lazić.

    Keywords : canonical bundle formula; moduli divisor

    Codes MSC :
    14E30 - Minimal model program (Mori theory, extremal rays)
    14J10 - Families, moduli, classification: algebraic theory
    14N30 - Adjunction problems

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 21/02/2019
      Date de captation : 14/02/2019
      Collection : Research talks
      Format : MP4
      Durée : 00:53:48
      Domaine : Algebraic & Complex Geometry
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-02-14_Floris.mp4

    Informations sur la rencontre

    Nom de la rencontre : Birational geometry and Hodge theory / Géométrie birationnelle et théorie de Hodge
    Organisateurs de la rencontre : Claudon, Benoît ; Höring, Andreas ; Rousseau, Erwan ; Taji, Behrouz
    Dates : 11/02/2019 - 15/02/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2101.html

    Citation Data

    DOI : 10.24350/CIRM.V.19494203
    Cite this video as: Floris, Enrica (2019). On the B-Semiampleness Conjecture. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19494203
    URI : http://dx.doi.org/10.24350/CIRM.V.19494203


    Voir aussi

    Bibliographie

    1. Floris, E., & Lazić, V. (2018). On the B-Semiampleness Conjecture. - https://arxiv.org/abs/1808.00717

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