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PreprintarXiv licencearXiv

Normality of closures of conormal bundles to Schubert cells for GLn

  • Ekaterina Bogdanova
  • Dyne Lee
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Abstract

We prove normality of closures of the conormal bundle to certain Schubert cells in the flag variety for GLn coming from Grassmannians. Our argument uses a Zelevinsky-type resolution of singularities, and through a sequence of cohomological computations based on the Borel--Weil--Bott theorem, we reduce normality to a problem about Kronecker coefficients, which we solve by applying results of Knutson and Tao from honeycomb theory.

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Cite

BibTeXRIS
BibTeX
@misc{bogdanova2026normality,
  title = {{Normality of closures of conormal bundles to Schubert cells for $\operatornameGL_n$}},
  author = {Ekaterina Bogdanova and Dyne Lee},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.02261},
  eprint = {2611.02261},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.02261},
}
RIS
TY  - UNPB
TI  - Normality of closures of conormal bundles to Schubert cells for GL_n
AU  - Ekaterina Bogdanova
AU  - Dyne Lee
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.02261
UR  - https://arxiv.org/abs/2611.02261
AB  - We prove normality of closures of the conormal bundle to certain Schubert cells in the flag variety for GL_n coming from Grassmannians. Our argument uses a Zelevinsky-type resolution of singularities, and through a sequence of cohomological computations based on the Borel--Weil--Bott theorem, we reduce normality to a problem about Kronecker coefficients, which we solve by applying results of Knutson and Tao from honeycomb theory.
ER  -