Dicritical divisors and Jacobian problem

DOI10.1007/s13226-010-0017-xzbMath1197.14061OpenAlexW2007369213MaRDI QIDQ981853

Shreeram S. Abhyankar

Publication date: 9 July 2010

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0017-x

zbMATH Keywords

regular local ringdicritical divisorjacobian problem

Mathematics Subject Classification ID

Jacobian problem (14R15) Regular local rings (13H05)

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Dicriticals of pencils and Dedekind's Gauss lemma ⋮ Existence of dicritical divisors revisited ⋮ Field generators in two variables and birational endomorphisms of 𝔸² ⋮ High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials ⋮ Frameworks for two-dimensional Keller maps ⋮ Rees valuations ⋮ On the Stein factorization of resolutions of two-dimensional Keller maps ⋮ Analytic theory of curvettes and dicriticals ⋮ Pillars and towers of quadratic transformations ⋮ More about dicriticals ⋮ Quadratic transforms inside their generic incarnations ⋮ Spiders and multiplicity sequences ⋮ Algebraic theory of curvettes and dicriticals ⋮ Generic incarnations of quadratic transforms ⋮ Very good and very bad field generators

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