54 citations · 220 across the 21 of their papers we have counts for
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Algorithms and differential relations for Belyi functions
Mark van Hoeij, Raimundas Vidunas
A tool package for computing genus 0 Belyi functions is presented, including simplification routines, computation of moduli fields, decompositions, dessins d'enfant. The main algor…
Belyi functions for hyperbolic hypergeometric-to-Heun transformations
Mark van Hoeij, Raimundas Vidunas
A complete classification of Belyi functions for transforming certain hypergeometric equations to Heun equations is given. The considered hypergeometric equations have the local ex…
On stringy invariants of GUT vacua
James Fullwood, Mark van Hoeij
We investigate aspects of certain stringy invariants of singular elliptic fibrations which arise in engineering Grand Unified Theories in F-theory. In particular, we exploit the sm…
On Hirzebruch invariants of elliptic fibrations
James Fullwood, Mark van Hoeij
We compute all Hirzebruch invariants for , , and elliptic fibrations of every dimension. A single generating series is produced for each family…