Notes on Hilbert-Kunz Multiplicity of Rees Algebras

Kazufumi Eto, Ken-ichi Yoshida

Type: Article

Publication Date: 2003-01-12

Citations: 20

DOI: https://doi.org/10.1081/agb-120024861

Abstract

Abstract In this paper, we estimate the Hilbert-Kunz multiplicity of the (extended) Rees algebras in terms of some invariants of the base ring. Also, we give an explicit formula for the Hilbert-Kunz multiplicities of Rees algebras over Veronese subrings.

Locations

arXiv (Cornell University) - View - PDF
Communications in Algebra - View

Similar Works

Action	Title	Year	Authors
+	Notes on Hilbert-Kunz multiplicity of Rees algebras	2003	Kazufumi Eto Ken-ichi Yoshida
+ PDF Chat	Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra	2021	Kriti Goel Mitra Koley J. K. Verma
+	Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra	2019	Kriti Goel Mitra Koley J. K. Verma
+	Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra	2019	Kriti Goel Mitra Koley J. K. Verma
+ PDF Chat	Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra	2019	Kriti Goel Mitra Koley J. K. Verma
+ PDF Chat	ON THE MULTIPLICITY OF REES ALGEBRAS OF GOOD FILTRATIONS	2012	Duong Quôc Việt Dinh Van Le
+ PDF Chat	A Formula for the Multiplicity of the Multi-graded Extended Rees Algebra	2003	Clare D’Cruz
+	Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex	2020	Arindam Banerjee Kriti Goel J. K. Verma
+	The Hilbert-Kunz function of some quadratic quotients of the Rees algebra	2020	Francesco Strazzanti Santiago Zarzuela
+	On Rees Algebras with a Gorenstein Veronese Subring	1998	Manfred Herrmann Eero Hyry Thomas Korb
+	Multigraded Rees algebras and mixed multiplicities	1992	J. K. Verma
+	Extended Rees algebras and mixed multiplicities	1989	Daniel J. Katz J. K. Verma
+	On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras	1993	Manfred Herrmann Eero Hyry Jürgen Ribbe
+	Rees algebras and Koszul homology	1988	Rafael H. Villarreal
+	On the highest multiplicity locus of algebraic varieties and Rees algebras	2015	Carlos Javier Pardo Abad
+	Rees algebras and their varieties	2022	Ivan Chajda Jaromír Duda
+	On Cohen-Macaulay and Gorenstein properties of Rees algebras	1994	幸男中村
+	On the Gorensteinness of Rees algebras over local rings	1985	信池田
+	Some algebraic and homological properties of a family of quotients of the Rees algebra	2019	Mahnaz Salek Elham Tavasoli Abolfazl Tehranian Maryam Salimi
+ PDF Chat	Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings	2001	Kei-ichi Watanabe Ken-ichi Yoshida

Works That Cite This (20)

Action	Title	Year	Authors
+	Generalized F-signatures of Hibi rings	2019	Akihiro Higashitani Yusuke Nakajima
+	Hilbert-Kunz functions of 2 x 2 determinantal rings	2012	Lance Edward Miller Irena Swanson
+ PDF Chat	Hilbert-Kunz Multiplicity of Three-Dimensional Local Rings	2005	Kei-ichi Watanabe Ken-ichi Yoshida
+ PDF Chat	The Shape of Hilbert–Kunz Functions	2021	C-Y. Jean Chan
+	Hilbert-Kunz density function and Hilbert-Kunz multiplicity	2015	V. Trivedi
+ PDF Chat	The Hilbert-Kunz density functions of quadric hypersurfaces	2023	Vijaylaxmi Trivedi
+ PDF Chat	Generalized F-signatures of Hibi rings	2020	Akihiro Higashitani Yusuke Nakajima
+ PDF Chat	New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension	2013	Ian M. Aberbach Florian Enescu
+	Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra	2019	Kriti Goel Mitra Koley J. K. Verma
+	Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex	2020	Arindam Banerjee Kriti Goel J. K. Verma

Works Cited by This (25)

Action	Title	Year	Authors
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog
+	Commutative Ring Theory	1987	H. Matsumura
+	Tight Closure and Its Applications	1996	Craig Huneke
+ PDF Chat	Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings	2001	Kei-ichi Watanabe Ken-ichi Yoshida
+ PDF Chat	𝐹-regularity, test elements, and smooth base change	1994	Melvin Hochster Craig Huneke
+	The Hilbert-Kunz function of rings of finite Cohen-Macaulay type	1997	Gerhard Seibert
+	Hilbert-Kunz function of monomial ideals and binomial hypersurfaces	1996	Aldo Conca
+ PDF Chat	On graded rings, I	1978	Shirô Gotô Kei-ichi Watanabe
+	On Noetherian Rings of Characteristic p	1976	Ernst Kunz
+ PDF Chat	Multiplicity and Hilbert-Kunz Multiplicity of Monoid Rings	2002	Kazufumi Eto