Hyperbolicity of Projective Hypersurfaces by Simone Diverio & Erwan Rousseau

Author:Simone Diverio & Erwan Rousseau
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

the evaluation on v of the hermitian form naturally associated to the (1, 1)-form .

More generally, we can relax the smoothness requirements on h and just ask the local weights to be locally integrable: this gives the so-called notion of singular hermitian metric. In this framework, the curvature is still well defined provided we take derivatives in the sense of distributions. The positivity in the sense of distribution becomes now to ask the local weights to satisfy the following property: for all the distribution

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