Étoiles and valuations
Copyright policy )Étoiles and valuations
We establish some properties of étoiles and associated valuations over complex analytic spaces, showing that Abhyankar's inequality holds. We give some examples of pathological behavior of these valuations. We prove a regularization theorem for complex analytic morphisms.
24 pages
- University of Missouri United States
Local analytic geometry, étoile, Mathematics - Complex Variables, valuation theory, regularization theorem, Global theory and resolution of singularities (algebro-geometric aspects), Morphisms of commutative rings, analytic maps, voûte étoilée, Mathematics - Algebraic Geometry, 14D05, 14E05, 32C15, Abhyankar's inequality, local monomialization, FOS: Mathematics, local monomial transformation, Local structure of morphisms in algebraic geometry: étale, flat, etc., Complex Variables (math.CV), Algebraic Geometry (math.AG), local blowups
Local analytic geometry, étoile, Mathematics - Complex Variables, valuation theory, regularization theorem, Global theory and resolution of singularities (algebro-geometric aspects), Morphisms of commutative rings, analytic maps, voûte étoilée, Mathematics - Algebraic Geometry, 14D05, 14E05, 32C15, Abhyankar's inequality, local monomialization, FOS: Mathematics, local monomial transformation, Local structure of morphisms in algebraic geometry: étale, flat, etc., Complex Variables (math.CV), Algebraic Geometry (math.AG), local blowups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!