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Pré-Publication, Document De Travail Année : 2021

Totally Invariant Divisors of non Trivial Endomorphisms of the Projective Space

Résumé

It is expected that a totally invariant divisor of a non-isomorphic endomorphism of the complex projective space is a union of hyperplanes. In this paper, we compute an upper bound for the degree of such a divisor. As a consequence, we prove the linearity of totally invariant divisors with isolated singularities.
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Dates et versions

hal-03453728 , version 1 (28-11-2021)

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Mabed Yanis. Totally Invariant Divisors of non Trivial Endomorphisms of the Projective Space. 2021. ⟨hal-03453728⟩
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