Nonexistence of phantom categories on very general noncommutative projective planes
Koshiro Murai
TL;DR
This paper proves that very general noncommutative projective planes do not contain phantom categories, clarifying the structure of their derived categories.
Contribution
It establishes the nonexistence of phantom categories in very general noncommutative projective planes, a significant result in noncommutative algebraic geometry.
Findings
Phantom categories do not exist in very general noncommutative projective planes.
The structure of derived categories in these planes is clarified.
The result impacts understanding of noncommutative geometric structures.
Abstract
We show that very general noncommutative projective planes do not admit phantom categories.
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Taxonomy
TopicsFinite Group Theory Research · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology