3 code implementations • 30 Jun 2020 • Martin Bies, Mirjam Cvetic, Ron Donagi, Ling Lin, Muyang Liu, Fabian Ruehle
To quantify jumps of these cohomologies, we first generate 1. 8 million pairs of line bundles and curves embedded in $dP_3$, for which we compute the cohomologies.
High Energy Physics - Theory Algebraic Geometry
2 code implementations • 24 Feb 2018 • Martin Bies
In this PhD thesis we investigate the significance of Chow groups for zero mode counting and anomaly cancellation in F-theory vacua.
High Energy Physics - Theory
2 code implementations • 14 Jun 2017 • Martin Bies, Christoph Mayrhofer, Timo Weigand
In this work we further develop a coherent framework to determine the charged massless matter in F-theory compactified on elliptic fourfolds, and demonstrate its application in a concrete example.
High Energy Physics - Theory