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H 1 On the B-Semiampleness Conjecture

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

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

 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 HodgeOrganisateurs de la rencontre : Claudon, Benoît ; Höring, Andreas ; Rousseau, Erwan ; Taji, BehrouzDates : 11/02/2019 - 15/02/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/2101.htmlCitation 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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