Curvature of Metrics on Semple Jet bundles

We discuss the Morse estimates for the curvature of several metrics on Semple weighted projective bundle over a projective variety. Following Demailly works on holomorphic Morse inequalities we show an analogue of his results along the Green-Griffiths conjecture for invariant jets.

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Bibliographic Details
Published in:arXiv.org 2020-09
Main Author: Rahmati, Mohammad Reza
Format: Article
Language:English
Subjects:
Curvature
Online Access:Get full text
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Description
Summary:We discuss the Morse estimates for the curvature of several metrics on Semple weighted projective bundle over a projective variety. Following Demailly works on holomorphic Morse inequalities we show an analogue of his results along the Green-Griffiths conjecture for invariant jets.
ISSN:2331-8422