The algebraic hull of the Kontsevich–Zorich cocycle
Annals of mathematics, Tome 188 (2018) no. 1, pp. 281-313

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We compute the algebraic hull of the Kontsevich–Zorich cocycle over any $ \mathrm {GL}^+_2(\mathbb {R}) $ invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarieties.

DOI : 10.4007/annals.2018.188.1.5

Alex Eskin 1 ; Simion Filip 2 ; Alex Wright 3

1 University of Chicago, Chicago, IL
2 Harvard University, Cambridge, MA
3 Stanford University, Stanford, CA
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Alex Eskin; Simion Filip; Alex Wright. The algebraic hull of the Kontsevich–Zorich cocycle. Annals of mathematics, Tome 188 (2018) no. 1, pp. 281-313. doi: 10.4007/annals.2018.188.1.5

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