Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat
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Publication:3114536
DOI10.1112/S0010437X11007068zbMath1326.32038arXiv1012.1585OpenAlexW3103274433MaRDI QIDQ3114536
Publication date: 18 February 2012
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.1585
Birational automorphisms, Cremona group and generalizations (14E07) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Structure and classification of infinite or finite groups (20E99)
Related Items (17)
Isometry group of Lorentz manifolds: a coarse perspective ⋮ Subgroups of elliptic elements of the Cremona group ⋮ On solvable subgroups of the Cremona group ⋮ Geometric Perspectives on Reproducing Kernels ⋮ Random walks on weakly hyperbolic groups ⋮ The Polish topology of the isometry group of the infinite dimensional hyperbolic space ⋮ Uniqueness of birational structures on Inoue surfaces ⋮ Infinite dimensional representations of orthogonal groups of quadratic forms with finite index ⋮ Notes on functions of hyperbolic type ⋮ Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces ⋮ The Burger-Mozes groups are not Kähler ⋮ Coxeter groups and Kähler groups ⋮ Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions ⋮ Hyperbolic spaces, principal series, and \({\text{O}}(2,\infty )\) ⋮ Some effectivity questions for plane Cremona transformations in the context of symmetric key cryptography ⋮ Simple groups of birational transformations in dimension two ⋮ Superrigidity in infinite dimension and finite rank via harmonic maps
Cites Work
- Unnamed Item
- On the second cohomology of Kähler groups
- On the groups of birational transformations of surfaces
- Algebraic subgroups of the Cremona group
- Sur certaines structures fibrées complexes
- Harmonic mappings of Kähler manifolds to locally symmetric spaces
- Harmonic maps and representations of non-uniform lattices of \(PU(m,1)\)
- Trees, valuations and the Green-Lazarsfeld set.
- A regularity theory for harmonic maps
- Strong rigidity of irreducible quotients of polydiscs of finite volume
- Analyticity of solutions of the O(N) nonlinear \(\sigma\)-model
- Global existence theorems for harmonic maps to nonlocally compact spaces
- Non-Kählerianity of nonuniform lattices in \(\mathrm{SO}(3,1)\).
- On non-Kählerianity of nonuniform lattices in \(\mathrm{SO}(n,1)\) \((n\geq 4)\)
- Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
- Sobolev spaces and harmonic maps for metric space targets
- Factorization of semisimple discrete representations of Kähler groups
- On the nilpotent subgroups of the Cremona group
- Degree growth of meromorphic surface maps
- Filtered ends, proper holomorphic mappings of Kähler manifolds to Riemann surfaces, and Kähler groups
- Intertwining operators and the representations of \(SL(2,R)\)
- Application of the higher osculating spaces to the spherical principal series
- Intertwining operators for semisimple groups
- Coble rational surfaces
- Dynamics of bimeromorphic maps of surfaces
- Some Basic Theorems on Algebraic Groups
- On the classification of rank-two representations of quasiprojective fundamental groups
- Applications of harmonic maps to Kähler geometry
- Some properties and applications of harmonic mappings
- Symétries birationnelles des surfaces feuilletÉes
- On Algebraic Groups of Transformations
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