Diophantine approximation and transcendence / Approximation diophantienne et transcendance

Collection Diophantine approximation and transcendence / Approximation diophantienne et transcendance

Organizer(s) Adamczewski, Boris ; Bugeaud, Yann ; Habegger, Philipp ; Laurent, Michel ; Zannier, Umberto

Date(s) 10/09/2018 - 14/09/2018

linked URL https://conferences.cirm-math.fr/1841.html

00:00:00 / 00:00:00

7 9

Generalized jacobians and Pellian polynomials

By Daniel Bertrand

A polynomial $D(t)$ is called Pellian if the ring generated over $C[t]$ by its square root has non constant units. By work of Masser and Zannier on the relative Manin-Mumford conjecture for jacobians, separable sextic polynomials are usually not Pellian. The same applies in the non-separable case, though some exceptional families occur, in relation to Ribet sections on generalized jacobians.

Information about the video

Date of recording 17/09/2014
Date of publication 23/09/2014
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18600503
Cite this video Bertrand, Daniel (17/09/2014). Generalized jacobians and Pellian polynomials. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18600503
URL https://dx.doi.org/10.24350/CIRM.V.18600503

Domain(s)

Number Theory

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