Geodesic
Splitting mixed Hodge structures over affine invariant manifolds
Simion Filip1
1 University of Chicago, Chicago, IL
Annals of mathematics, Tome 183 (2016) no. 2, pp. 681-713.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2016.183.2.5

Simion Filip 1

1 University of Chicago, Chicago, IL 
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     author = {Simion Filip},
     title = {Splitting mixed {Hodge} structures over affine invariant manifolds},
     journal = {Annals of mathematics},
     pages = {681--713},
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     volume = {183},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.183.2.5/}
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Simion Filip. Splitting mixed Hodge structures over affine invariant manifolds. Annals of mathematics, Tome 183 (2016) no. 2, pp. 681-713. doi : 10.4007/annals.2016.183.2.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.183.2.5/

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