%0 Journal Article %T Some homogeneous coordinate rings that are Koszul algebras %A Rikard B£żgvad %J Mathematics %D 1995 %I arXiv %X 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. %U http://arxiv.org/abs/alg-geom/9501011v2