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- W2296643304 abstract "We investigate the following conjecture: all compact non-Kahler complex surfaces admit birational structures. After Inoue-Kobayashi-Ochiai, the remaining cases to study are essentially surfaces in class VII_0^+. In case of Kato surfaces with a cycle and one branch of rational curves we show that they have a special birational structure given by new normal forms of contracting germs in Cremona group Bir(P^2(C)). In particular all surfaces S with GSS and 0<b_2(S)<4 admit a birational structure. From the existence of a special birational structure we deduce meromorphic mappings from the universal cover of S to the projective plane which blow down an infinite number of rational curves." @default.
- W2296643304 created "2016-06-24" @default.
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- W2296643304 date "2015-08-08" @default.
- W2296643304 modified "2023-09-27" @default.
- W2296643304 title "Special birational structures on non-Kahler complex surfaces" @default.
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