15 citations · 83 across the 18 of their papers we have counts for
15 papers · 1 filter
Realizability of tropical canonical divisors
Martin Moeller, Martin Ulirsch, Annette Werner
We use recent results by Bainbridge-Chen-Gendron-Grushevsky-Moeller on compactifications of strata of abelian differentials to give a comprehensive solution to the realizability pr…
Explicit formulas for infinitely many Shimura curves in genus 4
Samuel Grushevsky, Martin Moeller
In this paper we construct infinitely many Shimura curves contained in the locus of Jacobians of genus four curves. All Jacobians in these families are covers of va…
Teichmueller curves in genus three and just likely intersections in
Matt Bainbridge, Philipp Habegger, Martin Moeller
We prove that the moduli space of compact genus three Riemann surfaces contains only finitely many algebraically primitive Teichmueller curves. For the stratum consisting of holomo…
Shimura curves within the locus of hyperelliptic Jacobians in genus three
Samuel Grushevsky, Martin Moeller
We construct an infinite number of Shimura curves contained in the locus of hyperelliptic Jacobians of genus 3. In the opposite direction, we show that in genus 3 the only possible…
Lyapunov spectrum of ball quotients with applications to commensurability questions
André Kappes, Martin Moeller
We determine the Lyapunov spectrum of ball quotients arising from cyclic coverings. The computations are performed by rewriting the sum of Lyapunov exponents as ratios of intersect…
Deligne-Mumford compactification of the real multiplication locus and Teichmueller curves in genus three
Matt Bainbridge, Martin Moeller
In the moduli space M_g of genus g Riemann surfaces, consider the locus RM_O of Riemann surfaces whose Jacobians have real multiplication by the order O in a totally real number fi…