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September 10, 2025Forum of Mathematics SigmaOpen Access

Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

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Authors

MBMarc BessonTsinghua University JHJiuzu HongUniversity of North Carolina at Chapel Hill

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Implication

This research demonstrates a duality for twisted affine Demazure modules and function rings of torus fixed points, revealing implications for affine Schubert varieties.

Key Points

A duality between twisted affine Demazure modules and certain function rings is established, enhancing understanding of affine Schubert varieties.
The study proves the duality theorem for the group scheme E_6, marking a significant development in the area of algebraic geometry.
Results confirm the smooth locus determination of affine Schubert varieties, supporting the conjecture made by Haines and Richarz.
This research employs the methods of Zhu to explore the properties of twisted affine varieties and their modules.

Cite This Study

Besson et al. (2025) studied this question.

synapsesocial.com/papers/68c1c22554b1d3bfb60ef434 https://doi.org/10.1017/fms.2025.10057

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Implication

This research demonstrates a duality for twisted affine Demazure modules and function rings of torus fixed points, revealing implications for affine Schubert varieties.

Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

Discussion

Member takes

Implication

Key Points

Cite This Study

Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

Discussion

Member takes

Implication

Key Points

Cite This Study

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