Let f : (C^n, 0) -->(C, 0) be an analytic function germ. Under the hypothesis that f is
Newton non-degenerate, we compute the \mu*-sequence of f in terms of the Newton
polyhedron of f . This sequence was defined by ...

[EN] Given a pair of monomial ideals $I$ and $J$
of finite colength of the ring of analytic function germs $(\C^n,0)\to \C$, we prove that
some power of $I$ admits a reduction formed by homogeneous polynomials with respect ...

We give an expression for the Lojasiewicz exponent of a wide class of n-tuples of ideals (I (1),aEuro broken vertical bar,I (n) ) in using the information given by a fixed Newton filtration. In order to obtain this expression ...

Bivià-Ausina, Carles(Cambridge University Press (CUP) + Australian Mathematical Publishing Association Inc., 2015-04)

We obtain a characterisation of the monomial ideals I subset of C[x(1), . . . , x(n)] of finite colength that satisfy the condition e(I) = L-0((1)) (I) . . . L-0((n)) (I), where L-0((1)) (I), . . . , L-0((n)) (I) is the ...

[EN] We analyze the sequence L-J*(I) of mixed Lojasiewicz exponents attached to any pair I, J of monomial ideals of finite colength of the ring of analytic function germs ((C-n, 0) -> C. In particular, we obtain a combinatorial ...