Totally invariant divisors of endomorphisms of projective spaces

  title={Totally invariant divisors of endomorphisms of projective spaces},
  author={Andreas H{\"o}ring},
  journal={manuscripta mathematica},
  • 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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