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

Voir la notice de l'article provenant de la source Cambridge University Press

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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