2009/12/19 by Carles Bivià-Ausina, S. Encinas, Santiago Encinas · 8 citations
Mathematics · #Advanced Banach Space Theory #Algorithm #Combinatorics #Commutative Algebra and Its Applications #Computation #Computer science #Exponent #Function (biology) #Holomorphic and Operator Theory #Homogeneous #Mathematical analysis #Mathematics #Pure mathematics #Set (abstract data type) #Singularity #math.AG #math.CV #msc:13H15 #msc:32S05
paper · pdf · doi:10.1016/j.jpaa.2010.06.008
published in Journal of Pure and Applied Algebra 215(4), 578-588 (Elsevier BV) · 15 pages
arxiv created 2009/12/19 · openalex publication_date 2010/06/29 · arxiv updated 2012/08/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We give an expression for the Łojasiewicz exponent of a set of ideals which are pieces of a weighted homogeneous filtration. We also study the application of this formula to the computation of the Łojasiewicz exponent of the gradient of a semi-weighted homogeneous function (\Cn,0)→ (\C,0) with an isolated singularity at the origin.