The Picard-Lefschetz formula and a conjecture of Kato, the case of Lefschetz fibrations
A conjecture of Kato says that the monodromy operator on the cohomology of a semi-stable degeneration of projective varieties is represented by an algebraic cycle on the special fiber of a normal crossing model of the fiber product degeneration. We prove this conjecture in the simple case of a semi-...
Main Authors: | , |
---|---|
Format: | Journal article |
Published: |
International Press
2002
|