Geometric proofs of Horn and saturation conjectures
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Publication:3367463
DOI10.1090/S1056-3911-05-00420-0zbMath1090.14014arXivmath/0208107WikidataQ122924587 ScholiaQ122924587MaRDI QIDQ3367463
Publication date: 24 January 2006
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0208107
Representation theory for linear algebraic groups (20G05) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenvalues of sums of Hermitian matrices
- Moduli of vector bundles on curves with parabolic structures
- Stable bundles, representation theory and Hermitian operators
- Matroids, motives, and a conjecture of Kontsevich.
- The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
- Pieri’S Formula Via Explicit Rational Equivalence
- Eigenvalues, invariant factors, highest weights, and Schubert calculus
- Quantum generalization of the Horn conjecture
- Vanishing and nonvanishing criteria in Schubert calculus
- Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients
