Results 11 to 20 of about 12,587 (151)
Schubert Calculus according to Schubert
, 2006 We try to understand and justify Schubert Calculus the way Schubert did it.Comment: 17 pages in english, 7 figures.
Ronga, Felice
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Crystal approach to affine Schubert calculus [PDF]
International Mathematics Research Notices, 2014 We apply crystal theory to affine Schubert calculus, Gromov-Witten invariants for the complete flag manifold, and the positroid stratification of the positive Grassmannian.
Morse, Jennifer, Schilling, Anne
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Soergel calculus and Schubert calculus [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2018 We reduce some key calculations of compositions of morphisms between Soergel bimodules ("Soergel calculus") to calculations in the nil Hecke ring ("Schubert calculus"). This formula has several applications in modular representation theory.
He, X., Williamson, G.
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On multiplicity-free skew characters and the Schubert Calculus [PDF]
Annals of Combinatorics, 2007 In this paper we classify the multiplicity-free skew characters of the symmetric group. Furthermore we show that the Schubert calculus is equivalent to that of skew characters in the following sense: If we decompose the product of two Schubert classes we
B.E. Sagan +4 more
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The special Schubert calculus is real [PDF]
Electronic Research Announcements of the American Mathematical Society, 1998 We show that the Schubert calculus of enumerative geometry is real, for special Schubert conditions. That is, for any such enumerative problem, there exist real conditions for which all the a priori complex solutions are real.Comment: 5 ...
Sottile, Frank
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Probabilistic Schubert Calculus: Asymptotics [PDF]
Arnold Mathematical Journal, 2020 AbstractIn the recent paper Bürgisser and Lerario (Journal für die reine und angewandte Mathematik (Crelles J), 2016) introduced a geometric framework for a probabilistic study of real Schubert Problems. They denoted by $$\delta _{k,n}$$ δ k ,
Lerario, Antonio, Mathis, Léo
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Probabilistic Schubert calculus [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2018 Abstract We initiate the study of average intersection theory in real Grassmannians. We define the expected degree edeg
Bürgisser, Peter, Lerario, Antonio
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Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We prove an explicit closed formula, written as a sum of Pfaffians, which describes each equivariant Schubert class for the Grassmannian of isotropic subspaces in a symplectic vector ...
Takeshi Ikeda, Tomoo Matsumura
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An inequality of Kostka numbers and Galois groups of Schubert problems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We show that the Galois group of any Schubert problem involving lines in projective space contains the alternating group. Using a criterion of Vakil and a special position argument due to Schubert, this follows from a particular inequality among Kostka ...
Christopher J. Brooks +2 more
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Generalized Permutahedra and Schubert Calculus
Arnold Mathematical Journal, 2022 We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utilizes recent developments in the study of Schubitopes, which are Newton polytopes of Schubert polynomials. The resulting tableau test executes in polynomial time.
Avery St. Dizier, Alexander Yong
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