Variations of mixed Hodge structure, Higgs fields, and quantum cohomology

DOI10.1007/PL00005852zbMath0973.32008arXivmath/9808106MaRDI QIDQ1586250

Gregory J. Pearlstein

Publication date: 13 November 2000

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9808106

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (13)

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 ⋮ The Ax-Schanuel conjecture for variations of mixed Hodge structures ⋮ Complex analytic Néron models for arbitrary families of intermediate Jacobians ⋮ 𝑆𝐿(2)-orbit theorem for degeneration of mixed Hodge structure ⋮ Naive boundary strata and nilpotent orbits ⋮ On the algebraicity of the zero locus of an admissible normal function ⋮ Jumps in the Archimedean height ⋮ The zero locus of an admissible normal function ⋮ Unnamed Item ⋮ Zero loci of admissible normal functions with torsion singularities ⋮ Degenerations of mixed Hodge structure.

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