Pillars and towers of quadratic transformations

DOI10.1090/S0002-9939-2011-10731-7zbMath1227.14004OpenAlexW1974091510MaRDI QIDQ3092832

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Publication date: 11 October 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10731-7

zbMATH Keywords

quadratic transformationstowersdicritical divisorskroneckerian dimension of fieldspillars

Mathematics Subject Classification ID

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

Related Items (10)

Dicriticals of pencils and Dedekind's Gauss lemma ⋮ High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials ⋮ Semifields and a theorem of Abhyankar ⋮ Rees valuations ⋮ Analytic theory of curvettes and dicriticals ⋮ More about 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
• 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

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