Schubert varieties, toric varieties and ladder determinantal varieties
Copyright policy )Schubert varieties, toric varieties and ladder determinantal varieties
We construct certain normal toric varieties (associated to finite distributive lattices) which are degenerations of the Grassmannians. We also determine the singular loci for certain normal toric varieties, namely the ones which are certain ladder determinantal varieties. As a consequence, we prove a refined version of the conjecture of Laksmibai & Sandhya [Criterion for smoothness of Schubert varieties in S L ( n ) / B , Proc. Ind. Acad. Sci., 100 (1990), 45-52] on the components of the singular locus, for certain Schubert varieties in the flag variety.
ladder determinantal varieties, Linkage, flag variety, Schubert varieties, Grassmannians, Schubert varieties, flag manifolds, Supervarieties, singular locus, distributive lattices, toric varieties
ladder determinantal varieties, Linkage, flag variety, Schubert varieties, Grassmannians, Schubert varieties, flag manifolds, Supervarieties, singular locus, distributive lattices, toric varieties
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).8 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!