Limits of log canonical thresholds

We define the e˜ ne product for the multiplicative group of polynomials and formal power series with coefficients on a commutative ring and unitary constant coefficient.. This de-

We prove a Łojasiewicz type inequality for a system of polynomial equations with coefficients in the ring of formal power series in two variables.. This result is an effective

In Section 4, we reformulate the zeta function of a matrix as the zeta function of a noncommutative formal power series before giving the proof of Theorem 1.1; the latter follows

and certain numbers that he obtains for an ideal in the power series ring on n indeter- minates over a field k of characteristic zero.. The main tool in this direction is the concept

In [2] Mather defines good frames associated to an ideal in a power series ring. , iy) of, roughly speaking, all points having the same Thom-Boardman singularity.. The main result

Moreover, for any Noetherian local subring of the ring of formal power series, we clarify the relationship between this theorem and the problem of the com- mutation of two

The Riordan near algebra, as introduced in this paper, is the Cartesian product of the algebra of formal power series and its principal ideal of non units, equipped with a product

More generally, given a di ff erential ring R, the set of di ff erentially definable functions over R, denoted by D(R), is the di ff erential ring of formal power series