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arxiv: 1709.00062 · v3 · pith:DBJGXH4Qnew · submitted 2017-08-31 · 🧮 math.AG

Classifying VII₀ surfaces with b₂ = 0 via group theory

classification 🧮 math.AG
keywords proofsurfacesbogomolovclassifyingconstructedfollowsgivegroup
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We give a new proof of a theorem of Bogomolov, that the only $VII_0$ surfaces with $b_2 = 0$ are those constructed by Hopf and Inoue. The proof follows the strategy of the original one, but it is of purely group-theoretic nature.

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