12 citations · 28 across the 9 of their papers we have counts for
14 papers
Variation of Hodge structure and enumerating tilings of surfaces by triangles and squares
Vincent Koziarz, Duc-Manh Nguyen
Let be a connected closed oriented surface of genus . Given a triangulation (resp. quadrangulation) of , define the index of each of its vertices to be the number of edge…
Stability of the Albanese fibration on the Cartwright-Steger surface
Vincent Koziarz, Sai-Kee Yeung
We verify that the Albanese fibration of the Cartwright-Steger surface is stable, answering a problem left open in [CKY].
The Bolza curve and some orbifold ball quotient surfaces
Vincent Koziarz, Carlos Rito, Xavier Roulleau
We study Deraux's non arithmetic orbifold ball quotient surfaces obtained as birational transformations of a quotient of a particular Abelian surface . Using the fact that $…
Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of genus zero curves
Vincent Koziarz, Duc-Manh Nguyen
We show that the complex hyperbolic metrics defined by Deligne-Mostow and Thurston on are singular Kähler-Einstein metrics when is embed…
Maximal representations of uniform complex hyperbolic lattices
Vincent Koziarz, Julien Maubon
Let be a maximal representation of a uniform lattice , , in a classical Lie group of Hermitian type . We prove that necessarily $H={\rm SU}(p…
On the Cartwright-Steger surface
Donald I. Cartwright, Vincent Koziarz, Sai-Kee Yeung
In this article, we study various concrete algebraic and differential geometric properties of the Cartwright-Steger surface. In particular, we determine the genus of a generic fibe…