CIRM - Videos & books Library - Boundedness of minimal partial du Val resolutions of canonical surface foliations

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Authors : Chen, Yen-An (Author of the conference)
CIRM (Publisher )

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Abstract : 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.

Keywords : foliations; boundedness; canonical models

MSC Codes :
14C20 - Divisors, linear systems, invertible sheaves
14E99 - None of the above but in this section
32M25 - Complex vector fields

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Hennenfent, Guillaume

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https://videos.cirm-math.fr/2020-05-26_Chen.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletages
Event Organizers : Druel, Stéphane ; Pereira, Jorge Vitório ; Rousseau, Erwan
Dates : 18/05/2020 - 22/05/2020
Event Year : 2020
Event URL : https://www.chairejeanmorlet.com/2251.html

Citation Data

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

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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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