Soft noncommutative flag schemes
Chien-Hao Liu, Shing-Tung Yau
TL;DR
This paper extends the construction of soft noncommutative schemes using toric geometry to flag varieties, providing a generalized framework applicable to schemes with good affine charts.
Contribution
It generalizes the soft noncommutative scheme construction from toric varieties to flag varieties, broadening the scope of noncommutative geometric methods.
Findings
Successful extension of soft noncommutative schemes to flag varieties
Framework applicable to schemes with good affine local charts
Potential for further applications in noncommutative geometry
Abstract
The construction of soft noncommutative schemes via toric geometry in arXiv:2108.05328 [math.AG] (D(15.1), NCS(1)) can be generalized and applied to a commutative scheme with a distinguished atlas of reasonably good affine local coordinate charts. In the current notes we carry out this exercise for flag varieties.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra