English

On real forms of Fermat hypersurfaces

Algebraic Geometry 2025-08-14 v2

Abstract

In this paper, we compute the number of real forms of Fermat hypersurfaces for degree d2d \ge 2 except the degree 4 surface case, and give explicit descriptions of them.

Cite

@article{arxiv.2312.10691,
  title  = {On real forms of Fermat hypersurfaces},
  author = {Yuya Sasaki},
  journal= {arXiv preprint arXiv:2312.10691},
  year   = {2025}
}

Comments

14 pages, correction of the part of the main result thanks to the pointing out by Professor J\'{a}nos Koll\'{a}r, also added the result of degree $2$ cases thanks to his advice

R2 v1 2026-06-28T13:53:53.155Z