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Semi-stable reduction and decomposition of de Rham complexes with coefficients. (Réduction semi-stable et décomposition de complexes de de Rham à coefficients.) (French) Zbl 0708.14014

The author uses the techniques from a paper by P. Deligne and himself [Invent. Math. 89, 247–270 (1987; Zbl 0632.14017)] to treat semi-stable reduction situations. As corollaries he gets algebraic proofs for degeneracy and vanishing results due to Saito, Steenbrink, Viehweg and Zucker.

MSC:

14F40 de Rham cohomology and algebraic geometry
14F17 Vanishing theorems in algebraic geometry

Citations:

Zbl 0632.14017
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References:

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