Curvature of Metrics on Semple Jet bundles
Mohammad Reza Rahmati
TL;DR
This paper investigates the curvature properties of metrics on Semple jet bundles, providing Morse estimates and extending Demailly's results to the Green-Griffiths conjecture for invariant jets.
Contribution
It introduces Morse estimates for metrics on Semple jet bundles and generalizes Demailly's holomorphic Morse inequalities to the Green-Griffiths conjecture context.
Findings
Derived Morse estimates for curvature on Semple jet bundles
Extended Demailly's inequalities to invariant jets
Provided new insights into the Green-Griffiths conjecture
Abstract
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology