Surfaces of general type with geometric genus zero: a survey

Details Surfaces of general type with geometric genus zero: a survey Surfaces of general type with geometric genus zero: a survey

2010-04-15

arxiv.org/abs/1004.2583v3

Mathematics

Algebraic Geometry

39 pages. v2, v3: minor changes

Scientific paper

In the last years there have been several new constructions of surfaces of general type with $p_g=0$, and important progress on their classification. The present paper presents the status of the art on surfaces of general type with $p_g=0$, 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.

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