In this paper we introduce LS algebras. We study their general properties and apply these results to Schubert varieties. Our main achievement is that any Schubert variety admits a flat deformation to a union of normal toric varieties. A new proof of Cohen-Macaulayness (and thus normality) for Schubert varieties is also obtained.
LS algebras and application to Schubert varieties
Chirivi' R.
2000-01-01
Abstract
In this paper we introduce LS algebras. We study their general properties and apply these results to Schubert varieties. Our main achievement is that any Schubert variety admits a flat deformation to a union of normal toric varieties. A new proof of Cohen-Macaulayness (and thus normality) for Schubert varieties is also obtained.File in questo prodotto:
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