English

Totally invariant divisors of endomorphisms of projective spaces

Algebraic Geometry 2017-10-18 v2

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 P3\mathbb P^3.

Keywords

Cite

@article{arxiv.1601.06427,
  title  = {Totally invariant divisors of endomorphisms of projective spaces},
  author = {Andreas Höring},
  journal= {arXiv preprint arXiv:1601.06427},
  year   = {2017}
}

Comments

9 pages, changed metadata