The Cox ring of the space of complete rank two collineations
Juergen Hausen, Michael Liebendoerfer
TL;DR
This paper computes the Cox ring of the space of complete rank two collineations, providing a detailed algebraic description of its coordinate ring structure.
Contribution
It explicitly determines the Cox ring for the space of complete rank two collineations, a previously uncharacterized algebraic object.
Findings
Explicit Cox ring description for the space of complete rank two collineations
Advances understanding of algebraic structure of collineation spaces
Provides tools for further geometric and algebraic analysis
Abstract
We determine the Cox ring of the space of complete rank two collineations.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models