English

Indeterminacy Loci of Iterate Maps

Dynamical Systems 2017-09-06 v1

Abstract

We consider the indeterminacy locus I(Φn)I(\Phi_n) of the iterate map Φn:MdrightarrowMdn\Phi_n:\overline{M}_d-rightarrow\overline{M}_{d^n}, where Md\overline{M}_d is the GIT compactification of the moduli space MdM_d of degree dd complex rational maps. We give natural conditions on ff that imply [f]I(Φn)[f]\in I(\Phi_n). These provide partial answers to a question of Laura DeMarco.

Keywords

Cite

@article{arxiv.1709.01501,
  title  = {Indeterminacy Loci of Iterate Maps},
  author = {Hongming Nie},
  journal= {arXiv preprint arXiv:1709.01501},
  year   = {2017}
}
R2 v1 2026-06-22T21:33:51.817Z