Inversion and Invariance of Characteristic Terms: Part I

Shreeram S. Abhyankar ()
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Shreeram S. Abhyankar: Purdue University, Mathematics Department

A chapter in The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, 2010, pp 93-168 from Springer

Abstract: Summary In my 1967 paper with almost the same title which appeared in volume 89 of the American Journal of Mathematics, I proved the invariance of the characteristic terms in the fractional power series expansion of a branch of an algebraic plane curve over fields of characteristic zero. Now I extend the results by a more generous interpretation of the characteristic terms, and by relaxing the characteristic zero hypothesis.

Keywords: Invariance; Valuations (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-1-4419-6263-8_8

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