Analytic theory of curvettes and dicriticals

DOI10.1007/s13163-014-0148-4zbMath1317.14002OpenAlexW1992958229MaRDI QIDQ743625

Enrique Artal Bartolo, Shreeram S. Abhyankar

Publication date: 25 September 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-014-0148-4

zbMATH Keywords

analyticdicritical divisorcontact numbercurvette

Mathematics Subject Classification ID

Relevant commutative algebra (14A05) General commutative ring theory (13A99) Birational geometry (14E99)

Related Items

High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials, Multiplicities of jumping points for mixed multiplier ideals

Cites Work

• Dicriticals of pencils and Dedekind's Gauss lemma
• Existence of dicritical divisors revisited
• Dicritical divisors and Jacobian problem
• A geometrical approach to the Jacobian conjecture for \(n=2\)
• Quadratic transforms inside their generic incarnations
• Spiders and multiplicity sequences
• Algebraic theory of curvettes and dicriticals
• Generic incarnations of quadratic transforms
• Existence of dicritical divisors
• Pillars and towers of quadratic transformations
• More about dicriticals
• Algebraic theory of dicritical divisors
• On the Valuations Centered in a Local Domain
• Ramification Theoretic Methods in Algebraic Geometry (AM-43)
• Holonomie et intégrales premières
• Historical Ramblings in Algebraic Geometry and Related Algebra
• Polynomial expansion
• Une démonstration géométrique du théorème d'Abhyankar-Moh.
• Rees valuations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item