naa a22 4500 510760961 CHVBK 20180411083139.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0104-0 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0104-0 Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations [Elektronische Daten] [Carles Bivià-Ausina, Santiago Encinas] We give an expression for the Łojasiewicz exponent of a wide class of n-tuples of ideals (I 1, ,I n ) in $\mathcal {O}_{n}$ using the information given by a fixed Newton filtration. In order to obtain this expression we consider a reformulation of Łojasiewicz exponents in terms of Rees mixed multiplicities. As a consequence, we obtain a wide class of semi-weighted homogeneous functions f:(ℂ n ,0)→(ℂ,0) for which the Łojasiewicz of its gradient map ∇f attains the maximum possible value. Universidad Complutense de Madrid, 2012 Łojasiewicz exponents nationallicence Integral closure of ideals nationallicence Mixed multiplicities of ideals nationallicence Monomial ideals nationallicence Bivià-Ausina Carles Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022, València, Spain aut Encinas Santiago Departamento de Matemática Aplicada, Universidad de Valladolid, Avda. Salamanca s/n, 47014, Valladolid, Spain aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 773-798 1139-1138 26:2<773 2013 26 13163 https://doi.org/10.1007/s13163-012-0104-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0104-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bivià-Ausina Carles Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022, València, Spain aut NATIONALLICENCE 700 1- Encinas Santiago Departamento de Matemática Aplicada, Universidad de Valladolid, Avda. Salamanca s/n, 47014, Valladolid, Spain aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 773-798 1139-1138 26:2<773 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer