Splitting mixed Hodge structures over affine invariant manifolds
Dynamical Systems
2017-10-31 v3 Algebraic Geometry
Geometric Topology
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 M\"oller. 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.
Cite
@article{arxiv.1311.2350,
title = {Splitting mixed Hodge structures over affine invariant manifolds},
author = {Simion Filip},
journal= {arXiv preprint arXiv:1311.2350},
year = {2017}
}
Comments
Updated according to referee remarks