Asymptotics of degenerations of mixed Hodge structures

DOI10.1016/j.aim.2014.12.024zbMath1345.58001arXiv1403.1971OpenAlexW1979721713MaRDI QIDQ2253801

Gregory J. Pearlstein, Tatsuki Hayama

Publication date: 13 February 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1971

zbMATH Keywords

nilpotent orbitsHodge structure

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram ⋮ SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES ⋮ Height pairing on higher cycles and mixed Hodge structures ⋮ Quasi-projectivity of images of mixed period maps ⋮ Classification of horizontal s ⋮ Jumps in the Archimedean height ⋮ Polarized relations on horizontal \(\operatorname{SL}(2)\)'s

Cites Work

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• Boundaries of cycle spaces and degenerating Hodge structures
• Naive boundary strata and nilpotent orbits
• Variation of mixed Hodge structure. I
• The zero locus of an admissible normal function
• Variation of mixed Hodge structure arising from family of logarithmic deformations. II: Classifying space
• Singularities of admissible normal functions (with an appendix by Najmuddin Fakhruddin)
• A study of variation of mixed Hodge structure
• Unipotent variations of mixed Hodge structure
• Biextensions and heights associated to curves of odd genus
• Variation of Hodge structure: The singularities of the period mapping
• Degeneration of Hodge structures
• Degenerations of mixed Hodge structure.
• \(\text{SL}_2\)-orbits and degenerations of mixed Hodge structure
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits
• Normal Functions and the Geometry of Moduli Spaces of Curves
• Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces
• 𝑆𝐿(2)-orbit theorem for degeneration of mixed Hodge structure
• Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)
• On the algebraicity of the zero locus of an admissible normal function
• Relative monodromy weight filtrations

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