The algebraic hull of the Kontsevich-Zorich cocycle
classification
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keywords
algebraiccocyclehullkontsevich-zorichbundlecomputederivefiniteness
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We compute the algebraic hull of the Kontsevich-Zorich cocycle over any GL^+_2(R) invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarieties.
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