Some homogeneous coordinate rings that are Koszul algebras

Abstract

Using reduction to positive characteristic and the method of Frobenius splitting of diagonals, due to Mehta and Ramanathan, it is shown that homogeneous coordinate rings for either proper and smooth toric varieties or Schubert varieties are Koszul algebras.

arXiv commentRevised version. Due to the mistake in alg-geom/9501012 the argument only works for homogeneous coordinate rings of Schubert varieties. This has also been proved by other authors and we have added references to them

References in corpus (1)

• On the homogeneous ideal of a projective nonsingular toric variety

Cited by in corpus (2)

• On quasimaps to quadrics
• Straightened law for quantum isotropic Grassmannian OGr^+(5,10)