On monodromies of a degeneration of irreducible symplectic Kähler manifolds

2006/05/09 by Yasunari Nagai, Nagai, Yasunari · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0605223

openalex publication_date 2006/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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• Arithmetic monodromy of hyper-Kähler varieties over p-adic fields

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