Ramification in some non-galois extension of function fields

Official URL: http://risc01.sabanciuniv.edu/record=b1305893 (Table of Contents)

Throughout this thesis, we denote by k an algebraically closed field of characteristic p > 0, and K /k is a function field over k. We consider extensions L = K(r); where r is a root of one of the following, f(x) = x^p + bx + d (1) f(x) = x^p + bx^(p-1)+ d (2) with b; d in K different from zero. For each polynomial listed above, we will describe ramification behavior of places P of K in the extension L=K, i.e. we will determine ramification index and different exponent of the places P' of L lying above P.