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Algebraic Geometry
High Energy Physics - Theory
The Calabi-Yau Threefolds with Mordell-Weil Rank 10
Elliptic threefolds with high Mordell-Weil rank
We present the first examples of smooth elliptic calabi-yau threefolds with mordell-weil rank 10, the highest currently known value.
Compactification of f-theory on these threefolds gives an effective theory in six dimensions which contains ten abelian gauge group factors.
We explicitly describe a log canonical model over of the calabi-yau threefolds as a log canonical model and relate it to a construction by elkies.
Authors
Antonella Grassi, Timo Weigand
Related Topics
Shioda homomorphism
Weierstrass model
Log canonical model
Compactification of f-theory
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