Splitting mixed Hodge structures over affine invariant manifolds

Pages 681-713 from Volume 183 (2016), Issue 2 by Simion Filip

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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Keywords
, , ,
Mathematical Subject Classification
Primary: , ,
DOI
https://doi.org/10.4007/annals.2016.183.2.5
MR
3450485
zbMATH
06575346
Milestones
Received: 5 August 2014
Revised: 23 September 2015
Accepted: 29 September 2015
Published online: 1 March 2016

Authors

Simion Filip

University of Chicago, Chicago, IL