Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\) (Q5892575)
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scientific article; zbMATH DE number 5908439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\) |
scientific article; zbMATH DE number 5908439 |
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Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\) (English)
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16 June 2011
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For a hypersurface \(H\) generic in the Zariski sense and a non-invertible homoclinic endomorphism \(f\) of algebraic degree \(d\geq 2\) of the projective space \(\mathbb{P}^k\) the author gives an explicit speed of the convergence of \(f^{-n}(H)\) to the dynamical Green \((1;1)\)-flow of \(f\).
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projective space \(\mathbb{P}^k\)
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non-invertible holomorphic endomorphism of \(\mathbb{P}^k\)
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Green \((1
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1)\)-flow
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