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Totally invariant divisors of endomorphisms of projective spaces

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Abstract

Totally invariant divisors of endomorphisms of the projective space are expected to be always unions of linear spaces. Using logarithmic differentials we establish a lower bound for the degree of the non-normal locus of a totally invariant divisor. As a consequence we prove the linearity of totally invariant divisors for \(\mathbb {P}^3\).

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  1. Laboratoire de Mathématiques J.A. Dieudonné, UMR 7351 CNRS, Université Côte d’Azur, 06108, Nice Cedex 02, France

    Andreas Höring

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  1. Andreas Höring
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Correspondence to Andreas Höring.

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Höring, A. Totally invariant divisors of endomorphisms of projective spaces. manuscripta math. 153, 173–182 (2017). https://doi.org/10.1007/s00229-016-0881-8

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  • DOI: https://doi.org/10.1007/s00229-016-0881-8

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