14 citations · 98 across the 25 of their papers we have counts for
4 papers · 1 filter
GL^+(2,R)-orbits in Prym eigenform loci
Erwan Lanneau, Duc-Manh Nguyen
This paper is devoted to the classification of GL^+(2,R)-orbit closures of surfaces in the intersection of the Prym eigenform locus with various strata of quadratic differentials.…
Classification of higher rank orbit closures in H^{odd}(4)
David Aulicino, Duc-Manh Nguyen, Alex Wright
The moduli space of genus 3 translation surfaces with a single zero has two connected components. We show that in the odd connected component H^{odd}(4) the only GL^+(2,R) orbit cl…
Non-Veech surfaces in H^hyp(4) are generic
Duc-Manh Nguyen, Alex Wright
We show that every surface in H^hyp(4) is either a Veech surface or a generic surface, i.e. its GL^+(2,R)-orbit is either a closed or a dense subset of H^hyp(4) . The proof develop…
Complete periodicity of Prym eigenforms
Erwan Lanneau, Duc-Manh Nguyen
This paper deals with Prym eigenforms which are introduced previously by McMullen. We prove several results on the directional flow on those surfaces, related to complete periodici…