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arXiv · 1311.2350

Splitting mixed Hodge structures over affine invariant manifolds

Simion Filip
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Abstract

We prove that affine invariant manifolds in strata of flat surfaces are algebraic varieties. The result is deduced from a generalization of a theorem of Möller. Namely, we prove that the image of a certain twisted Abel-Jacobi map lands in the torsion of a factor of the Jacobians. This statement can be viewed as a splitting of certain mixed Hodge structures.

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Simion Filip. 2015-07-11. Splitting mixed Hodge structures over affine invariant manifolds. https://doi.org/10.4007/annals.2016.183.2.5

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