FINITE REGULARITY AND KOSZUL ALGEBRAS
LUCHEZAR L. AVRAMOV AND IRENA PEEVA
Abstract.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 finite*
many indeterminates over Koszul algebras; this proves a conjecture in [3*
also show that if the residue field of a finitely generated graded algeb*
finite regularity, then so do all finitely generated graded modules.