Existence des diviseurs dicritiques, d'apr\`es S.S.Abhyankar
Algebraic Geometry
2018-11-20 v2
Abstract
In geometric terms, given a singular foliation of the plane, a dicritical divisor is (whenever it exists) an irreducible component of the exceptional divisor which is transverse to the foliation. Abhyankar gave recently a definition of the dicritical divisors which generalize and algebraicize the geometrical definition in the local case and the polynomial case. Following his work, we give a geometrical interpretation of these dicritical divisors and new proofs of their existence.
Cite
@article{arxiv.1204.0629,
title = {Existence des diviseurs dicritiques, d'apr\`es S.S.Abhyankar},
author = {Vincent Cossart and Mickaël Matusinski and Guillermo Moreno-Socias},
journal= {arXiv preprint arXiv:1204.0629},
year = {2018}
}
Comments
9 pages, in French