Some surprising Hilbert-Kunz functions
✍ Scribed by C. Han; P. Monsky
- Book ID
- 110559800
- Publisher
- Springer-Verlag
- Year
- 1993
- Tongue
- French
- Weight
- 832 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We note certain properties of the Hilbert-Kunz function and Hilbert-Kunz multiplicity, including a strengthened inequality between Hilbert-Kunz and Hilbert-Samuel multiplicities and a characterization of a mixed Hilbert function incorporating both ordinary and Frobenius powers of ideals.
We determine the Hilbert᎐Kunz function of plane elliptic curves in odd characteristic, as well as over arbitrary fields the generalized Hilbert᎐Kunz functions of nodal cubic curves. Together with results of K. Pardue and P. Monsky, this completes the list of Hilbert᎐Kunz functions of plane cubics. C