Abstract
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.
Mathematics Subject Classification (2010) Primary 14J29, 14J10. Secondary 14H30, 14J80, 20F05.
The present work took place in the realm of the DFG Forschergruppe 790 “Classification of algebraic surfaces and compact complex manifolds”
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Bauer, I., Catanese, F., Pignatelli, R. (2011). Surfaces of general type with geometric genus zero: a survey. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_1
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