27 citations · 76 across the 15 of their papers we have counts for
15 papers · 1 filter
Isotropic maps and moment map flow
François Jauberteau, Yann Rollin
We consider the moduli space of isotropic maps from a closed surface to a symplectic affine space and construct a Kähler moment map geometry, on a space of differential forms o…
Discrete geometry and isotropic surfaces
François Jauberteau, Yann Rollin, Samuel Tapie
We consider smooth isotropic immersions from the 2-dimensional torus into , for . When the image of such map is an immersed Lagrangian torus of . We…
Hamiltonian stationary Lagrangian fibrations
Eveline Legendre, Yann Rollin
Hamiltonian stationary Lagrangian submanifolds (HSLAG) are a natural generalization of special Lagrangian manifolds (SLAG). The latter only make sense on Calabi-Yau manifolds where…
ALE scalar-flat Kähler metrics on non-compact weighted projective spaces
Vestislav Apostolov, Yann Rollin
We construct new explicit toric scalar-flat K{ä}hler ALE metrics on weighted projective spaces of non-compact type, which we use to obtain smooth extremal K{ä}hler metrics on appro…
K-stability and parabolic stability
Yann Rollin
Parabolic structures with rational weights encode certain iterated blowups of geometrically ruled surfaces. In this paper, we show that the three notions of parabolic polystability…
Smoothing singular extremal Kähler surfaces and minimal Lagrangians
Olivier Biquard, Yann Rollin
We consider smoothings of a complex surface with singularities of class T and no nontrivial holomorphic vector field. Under an hypothesis of non degeneracy of the smoothing at each…