Martin de Borbon

most citedPolyhedral Kähler cone metrics on

C^{n}

singular at hyperplane arrangements

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2022

Dunkl connections on $C^{2}$ and spherical metrics

Martin de Borbon, Dmitri Panov

We show that general Dunkl connections on $C^{2}$ do not preserve non-zero Hermitian forms. Our proof relies on recent understanding of the non-trivial topology of the modul…

math.DG2021

Parabolic bundles and spherical metrics

Martin de Borbon, Dmitri Panov

We use the Kobayashi-Hitchin correspondence for parabolic bundles to reprove the results of Troyanov and Luo-Tian regarding existence and uniqueness of conformal spherical metrics…

math.DG2021★ 2 cited

Polyhedral Kähler cone metrics on $C^{n}$ singular at hyperplane arrangements

Martin de Borbon, Dmitri Panov

Let $X$ be a complex manifold and let $g$ be a polyhedral metric on it inducing its topology. We say that $g$ is a polyhedral Kähler (PK) metric on $X$ if it is Kähler outside its…

Dunkl connections on C2 and spherical metrics

Parabolic bundles and spherical metrics

Polyhedral Kähler cone metrics on Cn singular at hyperplane arrangements

Dunkl connections on $C^{2}$ and spherical metrics

Polyhedral Kähler cone metrics on $C^{n}$ singular at hyperplane arrangements