Existence of Dicritical Divisors Revisited
Shreeram S. Abhyankar, William J. Heinzer
TL;DR
This paper revisits the concept of dicritical divisors, characterizing their properties in special pencils and initiating the exploration of dicritical theory in higher dimensions.
Contribution
It provides a new characterization of dicritical divisors in special pencils and begins the development of dicritical theory in higher-dimensional settings.
Findings
Characterization of dicriticals in special pencils
Initiation of higher-dimensional dicritical theory
Abstract
We characterize the diacriticals of special pencils. We also initiate higher dimensional dicritical theory.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Advanced Combinatorial Mathematics