Étoiles and valuations
Copyright policy )Étoiles and valuations
We establish some properties of ��toiles 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
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