M ar 1 99 7 Chern Classes of Fibered Products of Surfaces
نویسنده
چکیده
In this paper we introduce a formula to compute Chern classes of fibered products of algebraic surfaces. For f : X → CP 2 a generic projection of an algebraic surface, we define X k for k ≤ n (n = deg f) to be the k products of X over f minus the big diagonal. For k = n (or n − 1), X k is called the Galois cover of f w.r.t. full symmetric group. We give a formula for c 2 1 and c 2 of X k. For k = n the formulas were already known. We apply the formula in 2 examples and add a conjecture concerning the spin structure of fibered products of Veronese surfaces Introduction.
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ar X iv : a lg - g eo m / 9 70 30 17 v 2 2 6 Fe b 19 99 Chern Classes of Fibered Products of Surfaces
In this paper we introduce a formula to compute Chern classes of fibered products of algebraic surfaces. For f : X → CP a generic projection of an algebraic surface, we define Xk for k ≤ n (n = deg f) to be the closure of k products of X over f minus the big diagonal. For k = n (or n − 1), Xk is called the full Galois cover of f w.r.t. full symmetric group. We give a formula for c 1 and c2 of X...
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