Asymptotics of degenerations of mixed Hodge structures

Tatsuki Hayama; Gregory Pearlstein

doi:10.1016/j.aim.2014.12.024

Asymptotics of degenerations of mixed Hodge structures

Tatsuki Hayama
, Gregory Pearlstein

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures and prove analogs of the strong distance estimate [6] between an admissible period map and the approximating nilpotent orbit. We also consider the asymptotic behavior of the biextension metric introduced by Hain [12], analogs of the norm estimates of [19] and the asymptotics of the naive limit Hodge filtration considered in [21].

Original language	English
Pages (from-to)	380-420
Number of pages	41
Journal	Advances in Mathematics
Volume	273
DOIs	https://doi.org/10.1016/j.aim.2014.12.024
Publication status	Published - 2015 Mar 9
Externally published	Yes

Keywords

Nilpotent orbits
Variations of mixed Hodge structure

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2014.12.024

Cite this

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title = "Asymptotics of degenerations of mixed Hodge structures",

abstract = "We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures and prove analogs of the strong distance estimate [6] between an admissible period map and the approximating nilpotent orbit. We also consider the asymptotic behavior of the biextension metric introduced by Hain [12], analogs of the norm estimates of [19] and the asymptotics of the naive limit Hodge filtration considered in [21].",

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AU - Hayama, Tatsuki

AU - Pearlstein, Gregory

PY - 2015/3/9

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N2 - We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures and prove analogs of the strong distance estimate [6] between an admissible period map and the approximating nilpotent orbit. We also consider the asymptotic behavior of the biextension metric introduced by Hain [12], analogs of the norm estimates of [19] and the asymptotics of the naive limit Hodge filtration considered in [21].

AB - We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures and prove analogs of the strong distance estimate [6] between an admissible period map and the approximating nilpotent orbit. We also consider the asymptotic behavior of the biextension metric introduced by Hain [12], analogs of the norm estimates of [19] and the asymptotics of the naive limit Hodge filtration considered in [21].

KW - Nilpotent orbits

KW - Variations of mixed Hodge structure

UR - https://www.scopus.com/pages/publications/84921345364

UR - https://www.scopus.com/pages/publications/84921345364#tab=citedBy

U2 - 10.1016/j.aim.2014.12.024

DO - 10.1016/j.aim.2014.12.024

M3 - Article

AN - SCOPUS:84921345364

SN - 0001-8708

VL - 273

SP - 380

EP - 420

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Asymptotics of degenerations of mixed Hodge structures

Abstract

Keywords

ASJC Scopus subject areas

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