Surfaces with p_g = 0: Constructions and Moduli spaces, Burniat surfaces and deformations of automorphisms

TL;DR

This paper explores the classification and moduli spaces of complex projective surfaces of general type with zero geometric genus, focusing on Burniat surfaces and their automorphisms.

Contribution

It provides new constructions and insights into the moduli spaces of Burniat surfaces and their deformations, expanding understanding of surfaces with p_g=0.

Findings

Classification of surfaces with p_g=0

Description of moduli spaces of Burniat surfaces

Analysis of automorphism deformations

Abstract

The article is a slightly extended version of the talk, with the same title, which I gave at the Kinosaki Symposium on Algebraic Geometry in October 2011, and dealing with the classification of complex projective surfaces of general type with vanishing geometric genus, and especially with the moduli spaces of Burniat surfaces.