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arXiv · 1506.05753

Algebraic models of local period maps and Yukawa algebras

Ruggero Bandiera·Marco Manetti
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Abstract

We describe some L-infinity model for the local period map of a compact Kaehler manifold. Applications include the study of deformations with associated variation of Hodge structure constrained by certain closed strata of the Grassmannian of the de Rham cohomology. As a byproduct we obtain an interpretation in the framework of deformation theory of the Yukawa coupling.

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Ruggero Bandiera, Marco Manetti. 2018-02-07. Algebraic models of local period maps and Yukawa algebras. https://doi.org/10.1007/s11005-018-1064-1

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