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Boundedness of minimal partial du Val resolutions of canonical surface foliations

Also appears in collection : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletages

By the work of Brunella and McQuillan, it is known that smooth foliated surfaces of general type with only canonical singularities admit a unique canonical model. It is then natural to wonder if these canonical models have a good moduli theory and, in particular, if they admit a moduli functor.In this talk, I will show that the canonical models and their minimal partial du Val resolutions are bounded.

Information about the video

Date of recording 26/05/2020
Date of publication 04/06/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19638703
Cite this video Chen, Yen-An (26/05/2020). Boundedness of minimal partial du Val resolutions of canonical surface foliations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19638703
URL https://dx.doi.org/10.24350/CIRM.V.19638703

Domain(s)

Bibliography

BRUNELLA, Marco. Birational geometry of foliations. Cham : Springer International Publishing, 2015. - http://dx.doi.org/10.1007/978-3-319-14310-1
HACON, Christopher D. et LANGER, Adrian. On birational boundedness of foliated surfaces. Journal für die reine und angewandte Mathematik, 2020, vol. 1, no ahead-of-print. - https://doi.org/10.1515/crelle-2020-0009
LANGER, Adrian. Adjoint linear systems on normal log surfaces. Compositio Mathematica, 2001, vol. 129, no 1, p. 47-66. - https://doi.org/10.1023/A:1013137101524
MCQUILLAN, Michael. Canonical models of foliations. Pure and applied mathematics quarterly, 2008, vol. 4, no 3, p. 877-1012. - http://dx.doi.org/10.4310/PAMQ.2008.v4.n3.a9

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