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On the cohomology groups of local systems over Hilbert modular varieties via Higgs bundles
cohomology groups of local systems Hilbert modular varieties Higgs bundles
2010/9/1
Let X be a Hilbert modular variety and V a non-trivial local system over X. In this paper we study Deligne-Saito’s mixed Hodge structure (MHS) on the cohomology groups Hk(X, V) using the method of Hig...