On monodromies of a degeneration of irreducible symplectic Kähler manifolds

Mathematics – Algebraic Geometry

Scientific paper

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22 pages. To appear in Math. Z

Scientific paper

We study the monodromy operators on the betti cohomologies associated to a
good degeneration of irreducible symplectic manifold and we show that the
unipotency of the monodromy operator on the middle cohomology is at least the
half of the dimension.

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