Geodesic
Multiplicity-Free Schubert Calculus
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 171-186

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DOI

Multiplicity-free algebraic geometry is the study of subvarieties $Y\,\subseteq \,X$ with the “smallest invariants” as witnessed by a multiplicity-free Chow ring decomposition of $\left[ Y \right]\,\in \,{{A}^{*}}\left( X \right)$ into a predetermined linear basis.This paper concerns the case of Richardson subvarieties of the Grassmannian in terms of the Schubert basis. We give a nonrecursive combinatorial classification of multiplicity-free Richardson varieties, i.e., we classify multiplicity-free products of Schubert classes. This answers a question of W. Fulton.
DOI : 10.4153/CMB-2010-032-x
Mots-clés : 14M15, 14M05, 05E99 
Thomas, Hugh; Yong, Alexander. Multiplicity-Free Schubert Calculus. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 171-186. doi: 10.4153/CMB-2010-032-x
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     title = {Multiplicity-Free {Schubert} {Calculus}},
     journal = {Canadian mathematical bulletin},
     pages = {171--186},
     year = {2010},
     volume = {53},
     number = {1},
     doi = {10.4153/CMB-2010-032-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-032-x/}
}
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