Hilbert-Kunz functions and Frobenius functors
DOI10.1090/S0002-9947-97-01704-2zbMath0862.13003OpenAlexW1554277858MaRDI QIDQ3127576
Publication date: 9 April 1997
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01704-2
Homological dimension and commutative rings (13D05) Spectral sequences, hypercohomology (18G40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Frobenius and multiplicities
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Complexes with homology of finite length and Frobenius functors
- Ext and Frobenius
- Some surprising Hilbert-Kunz functions
- Ringe der Charakteristik p und Frobeniusfunktoren
- Hilbert-Kunz function of monomial ideals and binomial hypersurfaces
- The Hilbert-Kunz function
- On the Hilbert-Kunz function and Koszul homology
- Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
- Algebraic De Rham cohomology
- What makes a complex exact?
- Tight closure and strong F-regularity
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- On Noetherian Rings of Characteristic p
- F-Regularity, Test Elements, and Smooth Base Change
- Phantom homology
- Characterizations of Regular Local Rings of Characteristic p
- Homology