Cotangent Bundle to the Flag Variety - I

V. Lakshmibai; C. S. Seshadri; R. Singh

doi:10.1007/s00031-017-9466-1

Cotangent Bundle to the Flag Variety - I

Algebraic Geometry 2022-03-29 v2 Group Theory

Authors: V. Lakshmibai , C. S. Seshadri , R. Singh

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Abstract

We show that there is a ${SL_n}$ -stable closed subset of an affine Schubert variety in the infinite dimensional Flag variety (associated to the Kac-Moody group ${\widehat{SL_n}}$ ) which is a natural compactification of the cotangent bundle to the finite-dimensional Flag variety ${{SL_n/B}}$ .

Keywords

flag varieties

Cite

@article{arxiv.1609.09551,
  title  = {Cotangent Bundle to the Flag Variety - I},
  author = {V. Lakshmibai and C. S. Seshadri and R. Singh},
  journal= {arXiv preprint arXiv:1609.09551},
  year   = {2022}
}

Comments

18 pages. arXiv admin note: text overlap with arXiv:1505.00038

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