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Which Schubert Varieties are Hessenberg Varieties?
After proving that every Schubert variety in the full flag variety of a complex reductive group G is a general Hessenberg variety, we show that not...
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Applications of homogeneous fiber bundles to the Schubert varieties
This article explores the relationship between Schubert varieties and equivariant embeddings, using the framework of homogeneous fiber bundles over...
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Castelnuovo–Mumford regularity of matrix Schubert varieties
Matrix Schubert varieties are affine varieties arising in the Schubert calculus of the complete flag variety. We give a formula for the...
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The isomorphism problem for cominuscule Schubert varieties
Cominuscule flag varieties generalize Grassmannians to other Lie types. Schubert varieties in cominuscule flag varieties are indexed by posets of...
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Combinatorics of semi-toric degenerations of Schubert varieties in type C
An approach to Schubert calculus is to realize Schubert classes as concrete combinatorial objects such as Schubert polynomials. Using the polytope...
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Seshadri stratification for Schubert varieties and standard monomial theory
The theory of Seshadri stratifications has been developed by the authors with the intention to build up a new geometric approach towards a standard...
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A classification of spherical Schubert varieties in the Grassmannian
Let L be any standard Levi subgroup which acts by left multiplication on a Schubert variety X ( w ) in the Grassmannian. We give a complete...
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Generalized Permutahedra and Schubert Calculus
We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the...
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On symbology and differential equations of Feynman integrals from Schubert analysis
We take the first step in generalizing the so-called “Schubert analysis”, originally proposed in twistor space for four-dimensional kinematics, to...
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Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism
Irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation was...
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UNIVERSAL GRAPH SCHUBERT VARIETIES
We consider the loci of invertible linear maps f : ℂ n → (ℂ n ) * together with pairs of flags ( E • , F • ) in ℂ n such that the various restrictions f : F j →
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