A result of P. Samuel ([17] p. 186, Chap.II, Théorème 5) says that in a local noetherian ring (O,M) of Krull dimension d in which the residual field k is infinite, the multiplicity of a M-primary… (More)

musings? Such views of mathematics are misguided on many accounts. Mathematics plays a fundamental role in, for example, electronic communications, environmental assessments and modelling,… (More)

A normal surface singularity is rational if and only if the dual graph of a desingularization satisfies some combinatorial properties. In fact, these graphs are trees. In this paper we give geometric… (More)