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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/467688
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