TL;DR
This paper studies flat S_3-covers of schemes, aiming to develop a global structural understanding similar to abelian covers through local analysis.
Contribution
It introduces a framework for describing flat S_3-covers of schemes, extending the analogy with abelian covers.
Findings
Established local descriptions of S_3-covers
Developed a method for global classification
Provided insights into the structure of non-abelian covers
Abstract
We analyze flat S_3-covers, attempting to create structures parallel to those found in the abelian theory. We use an initial local analysis as a guide in finding a global description.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications