Title	Mordell-Weil for threefolds and fourfolds
Creator	Kloosterman, Remke
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-01-23T16:11
Description	Together with Klaus Hulek we proved in 2011 that there is an effective algorithm which computes the Mordell-Weil group of X for ``most'' elliptic threefolds X with base P2. In the first part of the talk we explain what this statement means if one specializes to elliptic threefolds which are relevant for F-theory. Moreover, we explain several relations between singularity-theory invariants of the discriminant curve of an elliptic fibration and the Mordell-Weil rank of this fibration. In the second part we discuss extensions of these results to elliptic threefolds over arbitrary base surfaces and to certain classes of elliptic fourfolds.
Extent	58 minutes
Subject	Mathematics; Algebraic geometry; Relativity and gravitational theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Università degli studi di Padova
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-07-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0369013
URI	http://hdl.handle.net/2429/66562
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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