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On submaximal curves in fake projective planes

Algebraic Geometry 2021-04-21 v2

Abstract

The main purpose of the note is to exclude the existence of certain submaximal curves in fake projective planes. This will lead to lower bounds on multipoint Seshadri constants of `fake' O(1)\mathcal{O}(1) on fake projective planes.

Cite

@article{arxiv.1910.06743,
  title  = {On submaximal curves in fake projective planes},
  author = {Piotr Pokora and Halszka Tutaj-Gasinska},
  journal= {arXiv preprint arXiv:1910.06743},
  year   = {2021}
}

Comments

9 pages, the final version, to appear in Journal of Pure and Applied Algebra

R2 v1 2026-06-23T11:44:11.321Z