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math.AC2013
About the algebraic closure of the field of power series in several variables in characteristic zero
Guillaume Rond
We construct algebraically closed fields containing an algebraic closure of the field of power series in several variables over a characteristic zero field. Each of these fields de…
math.AC2013
Asymptotic behaviour of standard bases
Guillaume Rond
We prove here that the elements of any standard basis of , where is an ideal of a Noetherian local ring and is a positive integer, have order bounded by a linear funct…