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2019 Representing a point and the diagonal as zero loci in flag manifolds
Shizuo Kaji
Algebr. Geom. Topol. 19(4): 2061-2075 (2019). DOI: 10.2140/agt.2019.19.2061

Abstract

The zero locus of a generic section of a vector bundle over a manifold defines a submanifold. A classical problem in geometry asks to realise a specified submanifold in this way. We study two cases: a point in a generalised flag manifold and the diagonal in the direct product of two copies of a generalised flag manifold. These cases are particularly interesting since they are related to ordinary and equivariant Schubert polynomials, respectively.

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Shizuo Kaji. "Representing a point and the diagonal as zero loci in flag manifolds." Algebr. Geom. Topol. 19 (4) 2061 - 2075, 2019. https://doi.org/10.2140/agt.2019.19.2061

Information

Received: 26 July 2018; Revised: 29 September 2018; Accepted: 9 December 2018; Published: 2019
First available in Project Euclid: 22 August 2019

zbMATH: 07121520
MathSciNet: MR3995024
Digital Object Identifier: 10.2140/agt.2019.19.2061

Subjects:
Primary: 57T20
Secondary: 55R25

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 4 • 2019
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