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August 3, 2026Journal of the Institute of Mathematics of JussieuOpen Access

Nonemptiness of Single Affine Deligne-Lusztig Varieties

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Authors

DLDong Gyu Lim

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Overview

Randomized trial uncovers criteria for nonemptiness in affine Deligne-Lusztig varieties, suggesting new dimensions.

Key Points

  • This study investigates the nonemptiness problem for single affine Deligne-Lusztig varieties at Iwahori level structures.
  • Explored the nonemptiness under the ‘shrunken Weyl chambers’ condition
  • Conjectured criteria for nonemptiness in general cases
  • Proved the conjecture except for finitely many cases.
  • Established new criteria for the nonemptiness problem
  • Discussed applications to special cases of the varieties
  • Presented a conjectural dimension formula.

Cite This Study

Dong Gyu Lim (2026) studied this question.

synapsesocial.com/papers/6a703fe175942ff7265e484fhttps://doi.org/10.1017/s1474748026101959
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