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arXiv · 1601.06427

Totally invariant divisors of endomorphisms of projective spaces

Andreas Höring
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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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Andreas Höring. 2016-01-24. Totally invariant divisors of endomorphisms of projective spaces. https://arxiv.org/abs/1601.06427

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