Ingrid Bauer

Beauville surfaces without real structures

Inspired by a construction by Arnaud Beauville of a surface of general type with K 2 = 8, p g = 0, the second author defined Beauville surfaces as the surfaces which are rigid, i.e., without nontrivial deformations, and which admit an unramified covering which is isomorphic to a product of curves of genus at least 2.

Surfaces of general type with geometric genus zero: a survey

In the last years there have been several new constructions of surfaces of general type with pg = 0, and important progress on their classification. The present paper presents the status of the art on surfaces of general type with pg = 0, and gives an updated list of the existing surfaces, in the case where K 2 = 1;:::; 7. It also focuses on certain important aspects of this classification.

QUOTIENTS OF PRODUCTS OF CURVES, NEW SURFACES WITH pg = 0 AND THEIR FUNDAMENTAL GROUPS

We construct many new surfaces of general type with

Complex Surfaces of General Type: Some Recent Progress

q=p_g = 0

A VOLUME MAXIMIZING CANONICAL SURFACE IN 3-SPACE

whose canonical model is the quotient of the product of two curves by the action of a finite group

The classification of minimal product-quotient surfaces with _{}=0.

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Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space

, constructing in this way many new interesting fundamental groups which distinguish connected components of the moduli space of surfaces of general type. We indeed classify all such surfaces whose canonical model is singular (the smooth case was classified in an earlier work). As an important tool we prove a structure theorem giving a precise description of the fundamental group of quotients of products of curves by the action of a finite group

The moduli space of Keum–Naie surfaces

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Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces

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Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with

Chapters : Old and new inequalities; Surfaces with