✦ LIBER ✦
Recovering divisor classes via their (T)-adic filtrations
✍ Scribed by Claudia Miller
- Book ID
- 104152876
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 920 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
✦ Synopsis
Continuing the investigation of the canonical map of divisor class groups j* : Cl(B) + '* Cl(B/tB), we consider what happens if kerJ is nonzero. The first result gives an injection of Cl(B) into n,,, CI(B/t"B), where the definition of class group is extended to include the _ rings B/t"B. We also get an action of kerj* on small MCM B-modules, resulting, in the case of a ring A without DCG and with a small MCM module C, in infinitely many distinct small MCM A[[T]]-modules lifting C.