Abstract
This chapter explores the surfaces of class VIIo with curves. It explain the way to compute the numerical class of the canonical bundle Ks on a surface S containing a GSS and express it in terms of its intersection matrix. This answers one of the problems raised by Dloussky. A kind of duality in the intersection matrix plays an essential role in the computation of the numerical class of Ks. From this computation, under some hypothesis, it can be told when the canonical bundle Ks is numerically an integral divisor.
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