More about dicriticals

DOI10.1090/S0002-9939-2011-10732-9zbMath1227.14005MaRDI QIDQ3092833

Shreeram S. Abhyankar

Publication date: 11 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

dicritical divisorsreduction of an idealspecial pencil

Mathematics Subject Classification ID

Valuation rings (13F30) Divisors, linear systems, invertible sheaves (14C20) Regular local rings (13H05) Relevant commutative algebra (14A05)

Related Items

Dicriticals of pencils and Dedekind's Gauss lemma ⋮ High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials ⋮ Rees valuations ⋮ Analytic theory of curvettes and dicriticals ⋮ Quadratic transforms inside their generic incarnations ⋮ Spiders and multiplicity sequences ⋮ Algebraic theory of curvettes and dicriticals ⋮ Generic incarnations of quadratic transforms

Cites Work

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• Dicritical divisors and Jacobian problem
• Existence of dicritical divisors
• Pillars and towers of quadratic transformations
• Algebraic theory of dicritical divisors
• Inversion and Invariance of Characteristic Terms: Part I
• On the Valuations Centered in a Local Domain
• On the Ramification of Algebraic Functions Part II: Unaffected Equations for Characteristic Two