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• W1894085032 abstract "Let $mathcal{V}$ be an admissible variation of polarized mixed Hodge structure on an open subset $U subset X$ of a complex algebraic manifold $X$, $D=X setminus U$ a normal crossing divisor. Assume the monodromies around the NC divisor are quasi-unipotent. Using theory of regular holonomoic $D$-modules, we show that the extended fibers of $mathcal{V}$ satisfy a polarization, and give a description of Riemann-Hodge bilinear relations for the MHS on new fibers. We apply the result to extensions of Normal functions and asymptotic of polarization on Jacobian bundles, via some known other results. In the case of curve Jacobians we determine the limit polarization by the $Theta$-divisor. Moreover, we give a motivation toward the determination of asymptotic of height pairings, in a degenerate family of Arakelov varieties, and specifically give an answer in case of curves." @default.
• W1894085032 created "2016-06-24" @default.
• W1894085032 creator A5041761253 @default.
• W1894085032 date "2014-05-12" @default.
• W1894085032 modified "2023-09-27" @default.
• W1894085032 title "Asymptotic of Polarization in Extensions of PVMHS" @default.
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• W1894085032 hasPublicationYear "2014" @default.
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