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Unirational varieties - Part 1
Post-edited
Authors : Mella, Massimiliano (Author of the conference)
CIRM (Publisher )
14E05 - Rational and birational maps
14G05 - Rational points
14M20 - Rational and unirational varieties
CIRM (Publisher )
Abstract :
The aim of these talks is to give an overview to unirationality problems. I will discuss the behaviour of unirationality in families and its relation with rational connectedness. Then I will concentrate on hypersurfaces and conic bundles. These special classes of varieties are a good place where to test different techniques and try to approach the unirationality problem via rational connectedness.
MSC Codes : 14E05 - Rational and birational maps
14G05 - Rational points
14M20 - Rational and unirational varieties
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 04/12/14 Conference Date : 25/11/14 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : QuickTime (.mov) Video Time : 00:52:39 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-11-25_Mella_part1.mp4 
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Information on the Event
Event Title : Algebraic geometry and complex geometry / Géométrie algébrique et géométrie complexeEvent Organizers : Broustet, Amaël ; Pasquier, Boris Dates : 24/11/14 - 28/11/14 Event Year : 2014 Event URL : http://math.univ-lille1.fr/~broustet/GAG...
Citation Data
DOI : 10.24350/CIRM.V.18636803Cite this video as: Mella, Massimiliano (2014). Unirational varieties - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18636803 URI : http://dx.doi.org/10.24350/CIRM.V.18636803 |
See Also
- [Multi angle] Unirational varieties - Part 3 / Author of the conference Mella, Massimiliano.
- [Multi angle] Unirational varieties - Part 2 / Author of the conference Mella, Massimiliano.
Bibliography
- Kollár, J. (1995). Rational curves on algebraic varieties. Berlin : Springer. (Ergebnisse der Mathematik und ihrer Grenzgebiete, 32) - http://dx.doi.org/10.1007/978-3-662-03276-3
- Mella, M. On the unirationality of 3-fold conic bundles. Preprint arXiv:1403.7055 [math.AG], 2014 - http://arxiv.org/abs/1403.7055
- Segre, B. (1960). Variazione continua ed omotopia in geometria algebrica. Annali di Matematica Pura ed Applicata. Serie Quarta, 50(1), 149-186 - http://dx.doi.org/10.1007/BF02414510
