In this paper we introduce a formula to compute Chern classes of fibered products of algebraic surfaces. For a generic projection of an algebraic surface, we define for to be the closure of products of over minus the big diagonal. For (or is called the full Galois cover of w.r.t. full symmetric group. We give a formula for and of For the formulas were already known. We apply the formula in two examples where we manage to obtain a surface with a high slope of We pose conjectures concerning the spin structure of fibered products of Veronese surfaces and their fundamental groups.
Cite this article
Mina Teicher, Chern classes of fibered products of surfaces. Doc. Math. 3 (1998), pp. 321–332DOI 10.4171/DM/48