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PreprintarXiv licencearXiv

Totally invariant subvarieties of Pn

  • Yujie Luo
  • Sheng Meng
Open at sourcePDFDOICite

Abstract

Let f:Pnℂ→Pnℂ be an endomorphism of degree greater than one. We prove that every irreducible Zariski closed subset V with f−1(V)=V is a linear subspace.

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Cite

BibTeXRIS
BibTeX
@misc{luo2026totally,
  title = {{Totally invariant subvarieties of $\mathbf P^n$}},
  author = {Yujie Luo and Sheng Meng},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10103},
  eprint = {2610.10103},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10103},
}
RIS
TY  - UNPB
TI  - Totally invariant subvarieties of P^n
AU  - Yujie Luo
AU  - Sheng Meng
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.10103
UR  - https://arxiv.org/abs/2610.10103
AB  - Let f:P^n_ℂ→P^n_ℂ be an endomorphism of degree greater than one. We prove that every irreducible Zariski closed subset V with f^−1(V)=V is a linear subspace.
ER  -