Dicritical divisors after S.S. Abhyankar et I. Luengo
  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). 
Vincent Cossart and Micka\"el Matusinski
math.AC math.AG