The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

pp 93-168


Inversion and Invariance of Characteristic Terms: Part I

  • Shreeram S. AbhyankarAffiliated withMathematics Department, Purdue University Email author 

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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.

Key words and phrases

Invariance Valuations