Some homogeneous coordinate rings that are Koszul algebras

Mathematics – Algebraic Geometry

Scientific paper

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Revised version. Due to the mistake in alg-geom/9501012 the argument only works for homogeneous coordinate rings of Schubert v

Scientific paper

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.

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