Français
Isotriviality for families given by regular foliations
Multi angle
Authors : Amerik, Ekaterina (Author of the conference)
CIRM (Publisher )
14D22 - Fine and coarse moduli spaces
14Dxx - Families, fibrations
14Exx - Birational geometry
14J10 - Families, moduli, classification: algebraic theory
32J27 - Compact Kähler manifolds: generalizations, classification
32S65 - Singularities of holomorphic vector fields and foliations
32Q10 - Positive curvature manifolds
CIRM (Publisher )
Loading the player...
|
Abstract :
Viehweg and Zuo obtained several results concerning the moduli number in smooth families of polarized varieties with semi-ample canonical class over a quasiprojective base. These results led Viehweg to conjecture that the base of a family of maximal variation is of log-general type, and the conjecture has been recently proved by Campana and Paun.
From the “opposite” side, Taji proved that a smooth projective family over a special (in the sense of Campana) quasiprojective base is isotrivial.
We extend Taji's theorem to quasismooth families, that is, families of leaves of compact foliations without singularities. This is a joint work with F. Campana
Keywords : families; isotriviality; moduli; special varieties; foliation
MSC Codes : From the “opposite” side, Taji proved that a smooth projective family over a special (in the sense of Campana) quasiprojective base is isotrivial.
We extend Taji's theorem to quasismooth families, that is, families of leaves of compact foliations without singularities. This is a joint work with F. Campana
Keywords : families; isotriviality; moduli; special varieties; foliation
14D22 - Fine and coarse moduli spaces
14Dxx - Families, fibrations
14Exx - Birational geometry
14J10 - Families, moduli, classification: algebraic theory
32J27 - Compact Kähler manifolds: generalizations, classification
32S65 - Singularities of holomorphic vector fields and foliations
32Q10 - Positive curvature manifolds
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 27/02/2019 Conference Date : 21/02/2019 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:01:55 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-21_Amerik.mp4 
|
Information on the Event
Event Title : Entire curves, rational curves and foliations / Courbes entières, courbes rationnelles et feuilletagesEvent Organizers : Brotbek, Damian ; Diverio, Simone ; Gasbarri, Carlo ; Rousseau, Erwan Dates : 18/02/2019 - 22/02/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2102.html
Citation Data
DOI : 10.24350/CIRM.V.19495503Cite this video as: Amerik, Ekaterina (2019). Isotriviality for families given by regular foliations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19495503 URI : http://dx.doi.org/10.24350/CIRM.V.19495503 |
See Also
- [Multi angle] Special manifolds, the core fibration, rational and entire curves / Author of the conference Campana, Frédéric.
- [Multi angle] Arithmetic and algebraic hyperbolicity / Author of the conference Javanpeykar, Ariyan.
- [Multi angle] A Grassmannian technique and the Kobayashi Conjecture / Author of the conference Riedl, Eric.
- [Post-edited] Improved bounds for jet differential operators and the Kobayashi conjecture / Author of the conference Demailly, Jean-Pierre.
Bibliography
- Amerik, E., Campana, F. (2017). Specialness and isotriviality for regular algebraic foliations.
- Campana, F., & Păun, M. (2016). Positivity properties of the bundle of logarithmic tensors on compact Kähler manifolds. Compositio Mathematica, 152(11), 2350-2370 - https://doi.org/10.1112/S0010437X16007442
- Taji, B. (2016). The isotriviality of smooth families of canonically polarized manifolds over a special quasi-projective base. Compositio Mathematica, 152(7), 1421-1434 - https://doi.org/10.1112/S0010437X1600734X
