The sum of Gysin images of c1(Li) cup c1(Ni) is zero in H^3(B, Z) when the circles bound surfaces in a holomorphic family of Riemann surfaces and the bundles extend holomorphically.
Nakayama,The lower semicontinuity of the plurigenera of complex varieties, Adv
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Relative analytic reciprocity laws
The sum of Gysin images of c1(Li) cup c1(Ni) is zero in H^3(B, Z) when the circles bound surfaces in a holomorphic family of Riemann surfaces and the bundles extend holomorphically.