# Totally invariant divisors of endomorphisms of projective spaces

@article{Hring2016TotallyID,
title={Totally invariant divisors of endomorphisms of projective spaces},
author={Andreas H{\"o}ring},
journal={manuscripta mathematica},
year={2016},
volume={153},
pages={173-182}
}
• A. Höring
• Published 24 January 2016
• Mathematics
• manuscripta mathematica
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 $$\mathbb {P}^3$$P3.
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