2018/07/26 by Konstantin Jakob, Jakob, Konstantin
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #advanced mathematical theories
paper · pdf · doi:10.15495/epub_ubt_00007241
In earlier work of the author rigid irregular connections with differential Galois group G2 and whose slopes have numerator 1 were classified and new rigid connections were constructed. The same construction can be carried out for ℓ-adic local systems in the setting of positive characteristic. In this article we provide the results that are needed to obtain the classification of wildly ramified rigid G2-local systems whose slopes have numerator 1. The overall strategy of the classification is very similar but the methods needed to obtain some invariants differ.