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Varieties with Trivial Canonical Class: problem session

By Jorge Vitório Pereira

Appears in collection : Jean-Morlet Chair 2020 - Workshop: Varieties with Trivial Canonical Class / Chaire Jean-Morlet 2020 - Workshop: Variétés de la classe canonique triviale

Presentation of open problems on the subject, intertwined with comments by the speakers of the workshop.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19628503
  • Cite this video Pereira, Jorge Vitório (16/04/2020). Varieties with Trivial Canonical Class: problem session. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19628503
  • URL https://dx.doi.org/10.24350/CIRM.V.19628503

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Bibliography

  • Arnaud Beauville. Variétés Kähleriennes dont la première classe de Chern est nulle. J. Differential Geom. 18 (1983), no. 4, 755–782 (1984). - http://dx.doi.org/10.4310/jdg/1214438181
  • Daniel Greb; Stefan Kebekus; Thomas Peternell. Singular spaces with trivial canonical class. Minimal models and extremal rays (Kyoto, 2011), 67–113, Adv. Stud. Pure Math., 70, Math. Soc. Japan, [Tokyo], 2016. - http://dx.doi.org/10.2969/aspm/07010067
  • Stéphane Druel. A decomposition theorem for singular spaces with trivial canonical class of dimension at most five. Invent. Math. 211 (2018), no. 1, 245–296. - https://doi.org/10.1007/s00222-017-0748-y
  • Stéphane Druel; Henri Guenancia. A decomposition theorem for smoothable varieties with trivial canonical class. J. Éc. polytech. Math. 5 (2018), 117–147. - https://doi.org/10.5802/jep.65
  • Daniel Greb; Henri Guenancia; Stefan Kebekus. Klt varieties with trivial canonical class: holonomy, differential forms, and fundamental groups. Geom. Topol. 23 (2019), no. 4, 2051–2124. - https://doi.org/10.2140/gt.2019.23.2051
  • Andreas Höring; Thomas Peternell. Algebraic integrability of foliations with numerically trivial canonical bundle. Invent. Math. 216 (2019), no. 2, 395–419. - https://doi.org/10.1007/s00222-018-00853-2
  • Jorge Vitório Pereira; Frédéric Touzet. Foliations with vanishing Chern classes. Bull. Braz. Math. Soc. (N.S.) 44 (2013), no. 4, 731–754. - https://doi.org/10.1007/s00574-013-0032-8
  • Henri Guenancia. Semistability of the tangent sheaf of singular varieties. ​Algebr. Geom. 3 (2016), no. 5, 508–542. - https://doi.org/10.14231/AG-2016-024

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