m

F Nous contacter

0
     
Multi angle

H 1 Stably irrational hypersurfaces of small slopes

Auteurs : Schreieder, Stefan (Auteur de la Conférence)
CIRM (Editeur )

    Loading the player...

    Résumé : We show that over any uncountable field of characteristic different from two, a very general hypersurface of dimension $n > 2$ and degree at least $log_2 (n) + 2$ is not stably rational. This significantly improves earlier results of Kollár and Totaro. As a byproduct of our proof, we obtain new counterexamples to the integral Hodge conjecture, answering a question of Voisin and Colliot-Thélène - Voisin.

    Keywords : hypersurfaces; rationality problem; stable rationality; integral Hodge conjecture; unramified cohomology

    Codes MSC :
    14C30 - Transcendental methods, Hodge theory, Hodge conjecture
    14J70 - Algebraic hypersurfaces
    14M20 - Rational and unirational varieties
    14E08 - Rationality questions

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 21/02/2019
      Date de captation : 14/02/2019
      Collection : Research talks
      Format : MP4
      Durée : 01:02:35
      Domaine : Algebraic & Complex Geometry ; Analysis and its Applications
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-02-14_Schreieder.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.19494303
    Cite this video as: Schreieder, Stefan (2019). Stably irrational hypersurfaces of small slopes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19494303
    URI : http://dx.doi.org/10.24350/CIRM.V.19494303


    Voir aussi

    Bibliographie

    1. Schreieder, S. (2018). Stably irrational hypersurfaces of small slopes. - https://arxiv.org/abs/1801.05397

Ressources Electroniques (Depuis le CIRM)

Books & Print journals

Recherche avancée


0
Z