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Bertini and Northcott

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Virtualconference
Authors : Pazuki, Fabien (Author of the conference)
CIRM (Publisher )

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Abstract : I will report on joint work with Martin Widmer. Let X be a smooth projective variety over a number field K. We prove a Bertini-type theorem with explicit control of the genus, degree, height, and field of definition of the constructed curve on X. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field K to the case of Jacobian varieties defined over a suitable extension of K. We will give examples where the strategy works well!

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    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/12/2020
    Conference Date : 25/11/2020
    Subseries : Research talks
    arXiv category : Number Theory ; Algebraic Geometry
    Mathematical Area(s) : Algebraic & Complex Geometry ; Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 00:49:16
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-11-25_Pazuki.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2020 - Conference: Diophantine Problems, Determinism and Randomness / Chaire Jean-Morlet 2020 - Conférence : Problèmes diophantiens, déterminisme et aléatoire
Event Organizers : Rivat, Joël ; Tichy, Robert
Dates : 23/11/2020 - 27/11/2020
Event Year : 2020
Event URL : https://www.chairejeanmorlet.com/2256.html

Citation Data

DOI : 10.24350/CIRM.V.19688603
Cite this video as: Pazuki, Fabien (2020). Bertini and Northcott. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19688603
URI : http://dx.doi.org/10.24350/CIRM.V.19688603

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