Finite Regularity and Koszul Algebras

  title={Finite Regularity and Koszul Algebras},
  author={IRENA PEEVA}
We determine the positively graded commutative algebras over which the residue field modulo the homogeneous maximal ideal has finite Castelnuovo-Mumford regularity: they are the polynomial rings in finitely many indeterminates over Koszul algebras; this proves a conjecture in [3]. We also show that if the residue field of a finitely generated graded… CONTINUE READING