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K-Semistability of cscK Manifolds with Transcendental Cohomology Class

We prove that constant scalar curvature Kähler (cscK) manifolds with transcendental cohomology class are K-semistable, naturally generalising the situation for polarised manifolds. Relying on a recent result by R. Berman, T. Darvas and C. Lu regarding properness of the K-energy, it moreover follows...

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Detalles Bibliográficos
Autor principal: Sjöström Dyrefelt, Zakarias
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294182/
https://www.ncbi.nlm.nih.gov/pubmed/30595639
http://dx.doi.org/10.1007/s12220-017-9942-9