Duc-Manh Nguyen

collaborators

3 papers

math.GT2020

Variation of Hodge structure and enumerating tilings of surfaces by triangles and squares

Vincent Koziarz, Duc-Manh Nguyen

Let $S$ be a connected closed oriented surface of genus $g$ . Given a triangulation (resp. quadrangulation) of $S$ , define the index of each of its vertices to be the number of edge…

math.GT2018

Topological Veech dichotomy and tessellations of the hyperbolic plane

Duc-Manh Nguyen

For every half-translation surface with marked points $(M, Σ)$ , we construct an associated tessellation $Π (M, Σ)$ of the Poincaré upper half plane whose tiles have finitely many side…

math.GT2018

Weierstrass Prym eigenforms in genus four

Erwan Lanneau, Duc-Manh Nguyen

We prove that for each discriminant $D \equiv 0, 1 mod 4, D \neq \in {4, 9}$ , the corresponding Prym eigenform locus discovered by McMullen in the stratum $H (6)$ is connec…