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Local intersection cohomology of varieties of complexes

Algebraic Geometry 2025-02-12 v1 Quantum Algebra Representation Theory

Abstract

We compute the local intersection cohomology of the irreducible components of varieties of complexes, by using Lusztig's geometric approach to quantum groups and explicit constructions of elements of Lusztig's canonical bases.

Keywords

Cite

@article{arxiv.2502.07688,
  title  = {Local intersection cohomology of varieties of complexes},
  author = {Xin Fang and Markus Reineke},
  journal= {arXiv preprint arXiv:2502.07688},
  year   = {2025}
}

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9 pages