Quadratic transforms inside their generic incarnations

DOI10.1090/S0002-9939-2012-11583-7zbMath1307.14001OpenAlexW2046275039MaRDI QIDQ2846836

Shreeram S. Abhyankar

Publication date: 3 September 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11583-7

zbMATH Keywords

generic memberpencilsingularity treequadratic transformideal transform

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Birational automorphisms, Cremona group and generalizations (14E07) Relevant commutative algebra (14A05)

Related Items (7)

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 ⋮ 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
• Pillars and towers of quadratic transformations
• More about dicriticals
• 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
• Historical Ramblings in Algebraic Geometry and Related Algebra
• Polynomial expansion

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