𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Hilbert-Kunz function of rings of finite Cohen-Macaulay type

✍ Scribed by Gerhard Seibert

Publisher
Springer
Year
1997
Tongue
English
Weight
246 KB
Volume
69
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Local Rings of Finite Cohen–Macaulay Typ
Local Rings of Finite Cohen–Macaulay Type
✍ Roger Wiegand 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Let R, m be a local Cohen᎐Macaulay ring whose m-adic completion R has an isolated singularity. We verify the following conjecture of F.-O. Schreyer: R has finite Cohen᎐Macaulay type if and only if R has finite Cohen᎐Macaulay type. We ww xx Ž . also show that the hypersurface k x , . . . , x r f has

Ascent of Finite Cohen–Macaulay Type
Ascent of Finite Cohen–Macaulay Type
✍ Graham Leuschke; Roger Wiegand 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 98 KB

In 1987 F.-O. Schreyer conjectured that a local ring R has finite Cohen-Macaulay type if and only if the completion R has finite Cohen-Macaulay type. We prove the conjecture for excellent Cohen-Macaulay local rings and also show by example that it can fail in general.