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Abstract. The topological theory of dicritical divisors is algebracized which makes it valid for nonzero characteristic as well as mixed characteristic. Section 1: Introduction. For any quasilocal ring S, i.e., (commutative) ring with a unique maximal ideal M(S), let HS: S → H(S) = S/M(S) denote the residue class epimorphism. Let R be a two dimensional (noetherian) regular local domain and let V be a prime divisor of R, i.e., V is a valuation ring of the quotient field QF(R) of R such that V dominates R and the residue transcendence degree of V over R is 1. We stress that th

Year: 2014

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