3 citations · 5 across the 11 of their papers we have counts for
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A Hilbert--Mumford criterion for generalised Monge--Ampère equations
Rémi Reboulet
We give a new numerical criterion in the spirit of GIT for existence of solutions to inverse Hessian equations, including in particular the J-equation. Our criterion is formulated…
Infinite-dimensional flats in the space of positive metrics on an ample line bundle
Rémi Reboulet, David Witt Nyström
We show that any continuous positive metric on an ample line bundle L lies at the apex of many infinite-dimensional Mabuchi-flat cones. More precisely, given any bounded graded fil…
Transcendental Okounkov bodies
Tamás Darvas, Rémi Reboulet, David Witt Nyström +2
We show that the volume of transcendental big -classes on compact Kähler manifolds can be realized by convex bodies, thus answering questions of Lazarsfeld-Mustaţă and Deng.…
Ding stability and Kähler-Einstein metrics on manifolds with big anticanonical class
Ruadhaí Dervan, Rémi Reboulet
We introduce a notion of uniform Ding stability for a projective manifold with big anticanonical class, and prove that the existence of a unique Kähler-Einstein metric on such a ma…
Flats in the space of Kähler metrics and Okounkov bodies
Rémi Reboulet
We study sufficient conditions for the existence of flat subspaces in the space of continuous plurisubharmonic metrics on a polarised complex projective manifold, relying on the ge…
The space of finite-energy metrics over a degeneration of complex manifolds
Rémi Reboulet
Given a degeneration of compact projective complex manifolds over the punctured disc, with meromorphic singularities, and a relatively ample line bundle on , we study sp…