8 citations · 16 across the 14 of their papers we have counts for
18 papers
of trigonal loci of strata of abelian differentials
Michael Lönne
We investigate locally closed subspaces of projectivized strata of abelian differentials which classify trigonal curves with canonical divisor a multiple of a trigonal divisor. We…
A faithful action of Gal() on Zariski multiplets
Michael Lönne, Matteo Penegini
In this work, we establish two main results in the context of arithmetic and geometric properties of plane curves. First, we construct numerous new examples of arithmetic Zariski p…
On Elliptic K3 Surfaces and Dessins d'Enfants
Michael Lönne, Matteo Penegini
We classify subgroups of up to conjugacy, which occur as monodromy groups of elliptically fibered K3 surfaces following a general strategy proposed by B…
Secondary Braid Groups
Sebastian Baader, Michael Lönne
We generalize presentations of the fundamental group of discriminant complements and arrive at a class of presentations associated naturally with words in the free monoid of the al…
Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers
Michael Lönne
We consider components of Hurwitz moduli space of G-Galois covers and set up a powerful algebraic framework to study the set of corresponding equivalence classes of monodromy maps.…
On Zariski Multiplets of Branch Curves from Surfaces Isogenous to a Product
Michael Lönne, Matteo Penegini
In this paper we give an asymptotic bound of the cardinality of Zariski multiples of particular plane singular curves. These curves have only nodes and cusps as singularities and a…