Dicritical divisors after S.S. Abhyankar et I. Luengo
Vincent Cossart, Micka\"el Matusinski
TL;DR
This paper simplifies and extends the theory of dicritical divisors introduced by Abhyankar and Luengo, providing more general results and clearer understanding of their properties.
Contribution
It generalizes and simplifies the existing theory of dicritical divisors, making the results more accessible and broadly applicable.
Findings
Unified framework for dicritical divisors
Simplified proofs of key theorems
Extended applicability of the theory
Abstract
In [AL11], S.S Abhyankar and I. Luengo introduce a new theory of dicritical divisors in the most general framework. Here we simplify and generalize their results (see Theorems 3.1 and 3.2).
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