Some homogeneous coordinate rings that are Koszul algebras

1995/01/20 by Rikard Bøgvad, Bögvad, Rikard
Mathematics · #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.alg-geom/9501011

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.

Related

• Koszul Property and Frobenius Splitting of Schubert Varieties
• On Koszul property of the homogeneous coordinate ring of a curve
• Koszul configurations of points in projective spaces
• Homogeneous coordinates for algebraic varieties
• Generic Lines in Projective Space and the Koszul Property