arXiv subjects

David Petcu

Publications and source records attributed to David Petcu.

2 recordsLinked to original sources

arXiv2025

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

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

math.AG↗

arXiv2024

A Generalization of Inoue Surfaces $S^+$

Using Lie groups with left-invariant complex structure, we construct new examples of compact complex manifolds with flat affine structure in arbitrarly high dimensions. In the 2-dimensional case, we retrieve the Inoue surfaces $S^+$.

math.DG↗