Add to ORKGAbstract. Let (R,m) be an unmixed local ring of positive prime characteristic and dimen-sion d. Assume that R is either excellent or a homomorphic image of a Cohen-Macaulay ring. We examine the implications of having small Hilbert-Kunz multiplicity (i.e., close to 1). In particular, we show that if R is not regular, there exists a lower bound, strictly greater than one, depending only on d, for its Hilbert-Kunz multiplicity. 1
Abstract. Let (R,m) be a Noetherian local ring of prime characteristic p. We define the F-rational s...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
Abstract. Let (R,m) be a Noetherian local ring of prime characteristic p. We define the F-rational s...
AbstractIn this paper, we study local rings of small Hilbert–Kunz multiplicity. In particular, we pr...
Abstract. We give a new and simple proof that unmixed local rings having Hilbert-Kunz multiplicity e...
A recent continuous family of multiplicity functions on local rings was introduced by Taylor interpo...
If a commutative noetherian local ring R happens to fall into one of several subclasses of such ring...
ABSTRACT. Hilbert–Kunz multiplicity and F-signature are numerical invariants of commutative rings in...
AbstractIn this paper we prove an extended version of a conjecture of J. Sally. Let (A, M) be a Cohe...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...
The dissertation explores the existence of maximal Cohen-Macaulay modules satisfying certain special...
The dissertation explores the existence of maximal Cohen-Macaulay modules satisfying certain special...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
Let R be a Cohen-Macaulay local ring with infinite residue field. We define the notion of Goto-minim...
Let (A, [special characters omitted]) be a d-dimensional Noetherian local ring, M a finite Cohen-Mac...
Abstract. Let (R,m) be a Noetherian local ring of prime characteristic p. We define the F-rational s...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
Abstract. Let (R,m) be a Noetherian local ring of prime characteristic p. We define the F-rational s...
AbstractIn this paper, we study local rings of small Hilbert–Kunz multiplicity. In particular, we pr...
Abstract. We give a new and simple proof that unmixed local rings having Hilbert-Kunz multiplicity e...
A recent continuous family of multiplicity functions on local rings was introduced by Taylor interpo...
If a commutative noetherian local ring R happens to fall into one of several subclasses of such ring...
ABSTRACT. Hilbert–Kunz multiplicity and F-signature are numerical invariants of commutative rings in...
AbstractIn this paper we prove an extended version of a conjecture of J. Sally. Let (A, M) be a Cohe...
Suppose G is a standard graded ring over an infinite field, with positively graded piece G+. From th...
The dissertation explores the existence of maximal Cohen-Macaulay modules satisfying certain special...
The dissertation explores the existence of maximal Cohen-Macaulay modules satisfying certain special...
AbstractWe prove the following result, which is motivated by the recent work of Kurano and Roberts o...
Let R be a Cohen-Macaulay local ring with infinite residue field. We define the notion of Goto-minim...
Let (A, [special characters omitted]) be a d-dimensional Noetherian local ring, M a finite Cohen-Mac...
Abstract. Let (R,m) be a Noetherian local ring of prime characteristic p. We define the F-rational s...
The Hilbert function of a zero-dimensional ideal in a d-dimensional Cohen-Macaulay local ring is stu...
Abstract. Let (R,m) be a Noetherian local ring of prime characteristic p. We define the F-rational s...