Non UBC
DSpace
Kloosterman, Remke
2018-07-23T05:02:28Z
2018-01-23T16:11
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.
https://circle.library.ubc.ca/rest/handle/2429/66562?expand=metadata
58 minutes
video/mp4
Author affiliation: Università degli studi di Padova
Banff (Alta.)
10.14288/1.0369013
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Algebraic geometry
Relativity and gravitational theory
Mathematical physics
Mordell-Weil for threefolds and fourfolds
Moving Image
http://hdl.handle.net/2429/66562