TY - ELEC
AU - Kloosterman, Remke
PY - 2018
TI - Mordell-Weil for threefolds and fourfolds
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0369013
ER - End of Reference