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m{SL}_2$-orbits and degenerations of mixed Hodge structure Academic Article uri icon

abstract

  • We extend Schmid’s SL2-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. © 2006 Applied Probability Trust.

author list (cited authors)

  • Pearlstein, G.

citation count

  • 15

publication date

  • September 2006