Chern classes of tensor products

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...

SINGULARITIES AND CHERN-WEIL THEORY, II Geometric Atomicity

We study the relationship between characterstic classes and singularities for a general smooth bundle map : E ! F . We show that there exist explicit and canonical equations of the form ( ) ( ) = k Resk [ k( )] + dT for every characteristic form ( ) of either E or F , provided that satis es the condition of geometric atomicity. This condition, which is a central concept of the paper, is quite b...

Borcherds Products and Chern Classes of Hirzebruch-zagier Divisors

Irreducibility of the tensor product of Albeverio's representations of the Braid groups $B_3$ and $B_4$

‎We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$‎. ‎We specialize the indeterminates used in defining these representations to non zero complex numbers‎. ‎We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$‎. ‎We then determine necessary and sufficient conditions that guarantee the irreducibility of th...

M ar 1 99 7 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 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...