Gonality and zero-cycles of abelian varieties | Vidéo | Carmin.tv

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Gonality and zero-cycles of abelian varieties

By Claire Voisin

Appears in collections : French-German meeting on complex algebraic geometry / Rencontre franco-allemande en géométrie algébrique complexe, Distinguished women in mathematics

The gonality of a variety is defined as the minimal gonality of curve sitting in the variety. We prove that the gonality of a very general abelian variety of dimension $g$ goes to infinity with $g$. We use for this a (straightforward) generalization of a method due to Pirola that we will describe. The method also leads to a number of other applications concerning $0$-cycles modulo rational equivalence on very general abelian varieties.

Information about the video

Date of recording 09/04/2018
Date of publication 12/04/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19388703
Cite this video VOISIN, Claire (09/04/2018). Gonality and zero-cycles of abelian varieties. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19388703
URL https://dx.doi.org/10.24350/CIRM.V.19388703

Domain(s)

Algebraic Geometry

Bibliography

Voisin, C. (2018). Chow rings and gonality of general abelian varieties. <arXiv:1802.07153> - https://arxiv.org/abs/1802.07153

MSC codes

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