English

Automorphism groups of Inoue surfaces $S^{(+)}/S^{(-)}$

Algebraic Geometry 2025-09-09 v1 Differential Geometry Number Theory

Abstract

We present the construction of Inoue surfaces of type S(+)/S()S^{(+)}/S^{(-)} in terms of data arising from real quadratic number fields. We then describe the automorphism group of such surfaces in terms of this data.

Keywords

Cite

@article{arxiv.2509.06860,
  title  = {Automorphism groups of Inoue surfaces $S^{(+)}/S^{(-)}$},
  author = {David Petcu},
  journal= {arXiv preprint arXiv:2509.06860},
  year   = {2025}
}