Monodromy groups of real Enriques surfaces

TL;DR

This paper computes the monodromy groups of real Enriques surfaces of hyperbolic type using deformation classification and a modified Donaldson's trick, advancing understanding of their geometric and topological properties.

Contribution

It introduces a method to determine monodromy groups of real Enriques surfaces of hyperbolic type, linking deformation classification with a modified Donaldson's trick.

Findings

Monodromy groups of real Enriques surfaces of hyperbolic type are explicitly computed.

A novel approach combining deformation classification and Donaldson's trick is developed.

Results enhance understanding of the topology and geometry of real Enriques surfaces.

Abstract

We compute the monodromy groups of real Enriques surfaces of hyperbolic type. The principal tools are the deformation classification of such surfaces and a modified version of Donaldson's trick, relating real Enriques surfaces and real rational surfaces.