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Spiders and multiplicity sequences

Published:2013-08-30 Issue:12 Volume:141 Page:4071-4085
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Abhyankar Shreeram,Luengo Ignacio

Abstract

The spider principle is used for establishing a formula for a finite quadratic sequence which determines the multiplicity sequences of all the sprouts which are founded upon the given finite quadratic sequence. This formula is basic for the theories of curvettes and dicriticals.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-12/S0002-9939-2013-12025-3/S0002-9939-2013-12025-3.pdf

Reference19 articles.

1. On the valuations centered in a local domain;Abhyankar, Shreeram;Amer. J. Math.,1956

2. Annals of Mathematics Studies, No. 43;Abhyankar, Shreeram,1959

3. Springer Monographs in Mathematics;Abhyankar, S. S.,1998

4. Historical ramblings in algebraic geometry and related algebra;Abhyankar, Shreeram S.;Amer. Math. Monthly,1976

5. Desingularization of plane curves;Abhyankar, Shreeram S.,1983

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. High-school algebra of the theory of dicritical divisors: Atypical fibers for special pencils and polynomials;Journal of Algebra and Its Applications;2015-07-10

2. Analytic theory of curvettes and dicriticals;Revista Matemática Complutense;2014-03-15

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