Abstract
We extend Schmid’s $\rm{SL}_2$-orbit theorem to a class of variations of mixed Hodge structure which normal functions, logarithmic deformations, degenerations of 1-motives and archimedean heights. In particular, as a consequence of this theorem, we obtain a simple formula for the asymptotic behavior of the archimedean height of a flat family of algebraic cycles which depends only on the weight filtration and local monodromy.
Citation
Gregory Pearlstein. "$\rm{SL}_2$-orbits and degenerations of mixed Hodge structure." J. Differential Geom. 74 (1) 1 - 67, September 2006. https://doi.org/10.4310/jdg/1175266181
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