Vanishing cycles over a base of dimension \(\geq \,1\). (English) Zbl 0567.14003
Algebraic geometry, Proc. Jap.-Fr. Conf., Tokyo and Kyoto 1982, Lect. Notes Math. 1016, 143-150 (1983).
[For the entire collection see Zbl 0511.00009.]
The paper gives the definitions for a theory of vanishing cycles over a base of dimension \(\geq 1\) [extending the paper by P. Deligne in Sémin. Géom. algébrique, 1967-1969, SGA 7 II, Lecture Notes Math. 340, exposé XIII, 82-115 (1973; Zbl 0266.14008)]. No proofs.
The paper gives the definitions for a theory of vanishing cycles over a base of dimension \(\geq 1\) [extending the paper by P. Deligne in Sémin. Géom. algébrique, 1967-1969, SGA 7 II, Lecture Notes Math. 340, exposé XIII, 82-115 (1973; Zbl 0266.14008)]. No proofs.
Reviewer: K.Lai
MSC:
| 14C99 | Cycles and subschemes |
| 14B12 | Local deformation theory, Artin approximation, etc. |
| 14D05 | Structure of families (Picard-Lefschetz, monodromy, etc.) |
