Local class field theory, strictly speaking, does not appear until the fourth part. ... not the second (198, instead download the 6.03MB pdf version of Ist Edition .... by R Schoof · 1992 · Cited by 60 — Another method was employed by Serre [ 1 l-131. He used infinite class field towers and showed that there exists a positive constant c for which.. by R Hartshorne — reduce to an algebraic question, namely, let A, m be a local k-algebra, essentially of finite type over