TL;DR
This paper introduces a measure to quantify how far a non-rational singularity is from being rational, aiming to better understand the nature of singularities in algebraic geometry.
Contribution
It proposes a novel metric for assessing the deviation of non-rational singularities from rationality, providing a new tool for singularity classification.
Findings
Defined a measure of non-rationality for singularities
Established properties and implications of this measure
Offered insights into the structure of singularities
Abstract
The main purpose of this article is to get a handle on determining how far a non-rational singularity is from being rational, or in other words, introduce a measure of the failure of a singularity being rational.
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Taxonomy
TopicsMathematics and Applications · Mathematical and Theoretical Analysis · Advanced Differential Equations and Dynamical Systems