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Quantum Generalization of the Horn Conjecture

代数几何 2007-05-23 v4 表示论

摘要

We prove a theorem which implies a quantum (multiplicative) analogue of the Horn conjecture, and also of the saturation conjecture. We obtain transversality statements for quantum schubert calculus in any characteristic and also determine the smallest power of q in an arbitrary (small quantum) product of Schubert varieties in a Grassmannian.

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引用

@article{arxiv.math/0303013,
  title  = {Quantum Generalization of the Horn Conjecture},
  author = {Prakash Belkale},
  journal= {arXiv preprint arXiv:math/0303013},
  year   = {2007}
}

备注

51 pages, no figures