Splitting mixed Hodge structures over affine invariant manifolds
By Simion Filip. 2013
124 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b559e739cf771fb624c5caebbc07129a62247246
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In Geometry and Topology
- Dawei Chen
- Martin Moeller
- Don Zagier
- Martin Möller
- A. Wright
- Simion Filip
- A. Libgober
- Jeremy Lovejoy
In Mathematical Physics
Citations in the corpus
- Quasimodularity and large genus limits of Siegel-Veech constants (2016, background): “It has been further shown by Filip ([22]) that all linear submanifolds are algebraic varieties defined over Q.”