Palestras e Seminários
23/02/2018
15:00
Sala 4001
Palestrante: Carles Bivià Ausina
Responsável: Daniel Levkovitz (
Seminários de Álgebra
Abstract: Given a pair of monomial ideals I and J of finite colength of the ring of analytic function germs (C^n,0)→C, we prove that some power of I admits a reduction formed by homogeneous polynomials with respect to the Newton filtration induced by J if and only if the quotient of multiplicities e(I)/e(J) attains a suitable upper bound expressed in terms of the Newton polyhedra of I and J. We show an application of this result to the computation of mixed Lojasiewicz exponents.