Results 31 to 40 of about 761 (218)
Flag Gromov-Witten invariants via crystals [PDF]
We apply ideas from crystal theory to affine Schubert calculus and flag Gromov-Witten invariants. By defining operators on certain decompositions of elements in the type-$A$ affine Weyl group, we produce a crystal reflecting the internal structure of ...
Jennifer Morse, Anne Schilling
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Cohomology classes of rank varieties and a counterexample to a conjecture of Liu [PDF]
To each finite subset of a discrete grid $\mathbb{N}×\mathbb{N}$ (a diagram), one can associate a subvariety of a complex Grassmannian (a diagram variety), and a representation of a symmetric group (a Specht module).
Brendan Pawlowski
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Geometric crystals on Schubert varieties [PDF]
25 ...
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LS algebras, valuations, and Schubert varieties
In this paper, we propose an algebraic approach via Lakshmibai–Seshadri (LS) algebras to establish a link between standard monomial theories, Newton–Okounkov bodies and valuations. This is applied to Schubert varieties, where this approach is compatible with the one using Seshadri stratifications in arXiv:2112.03776, showing that LS paths encode ...
Chirivi' R., Fang X., Littelmann P.
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Governing singularities of Schubert varieties
We present a combinatorial and computational commutative algebra methodology for studying singularities of Schubert varieties of flag manifolds. We define the combinatorial notion of *interval pattern avoidance*. For "reasonable" invariants P of singularities, we geometrically prove that this governs (1) the P-locus of a Schubert variety, and (2) which
Woo, Alexander, Yong, Alexander
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Minuscule Schubert varieties of exceptional type
21 pages, comments ...
Filippini S. A., Torres J., Weyman J.
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Cycle Intersection for SOp,q-Flag Domains
A real form G0 of a complex semisimple Lie group G has only finitely many orbits in any given compact G-homogeneous projective algebraic manifold Z=G/Q.
Faten Abu Shoga
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Wonderful symmetric varieties and Schubert polynomials
19 ...
Can, Mahir Bilen +2 more
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Abstract Vocational interests are traditionally conceived as stable preferences for different activities. However, recent theorizing suggests their intraindividual variability. This preregistered experience sampling study examined intraindividual variation in selected vocational interests states and related situation and person factors (N = 237 ...
Lena Roemer +3 more
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Kazhdan-Lusztig polynomials of boolean elements [PDF]
We give closed combinatorial product formulas for Kazhdan–Lusztig poynomials and their parabolic analogue of type $q$ in the case of boolean elements, introduced in [M. Marietti, Boolean elements in Kazhdan–Lusztig theory, J.
Pietro Mongelli
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