Schubert varieties as variations of Hodge structure
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Publication:2510406
DOI10.1007/s00029-014-0148-8zbMath1328.32003arXiv1208.5453OpenAlexW2110662382MaRDI QIDQ2510406
Publication date: 1 August 2014
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5453
Schubert varietyMumford-Tate groupHodge theoryvariation of Hodge structureGriffiths' transversalityinfinitesimal period relation
Grassmannians, Schubert varieties, flag manifolds (14M15) Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07)
Related Items (12)
Normal functions over locally symmetric varieties ⋮ Boundary components of Mumford-Tate domains ⋮ Variations of Hodge structure and orbits in flag varieties ⋮ Algebraic and Arithmetic Properties of Period Maps ⋮ Classification of smooth horizontal Schubert varieties ⋮ Bi-Yang-Baxter models and Sl(2)-orbits ⋮ On the distribution of the Hodge locus ⋮ Classification of horizontal s ⋮ Naive boundary strata and nilpotent orbits ⋮ Polarized relations on horizontal \(\operatorname{SL}(2)\)'s ⋮ Unnamed Item ⋮ Deformed WZW models and Hodge theory. I.
Cites Work
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- Semialgebraic horizontal subvarieties of Calabi-Yau type
- On integral formulas for submanifolds of spaces of constant curvature and some applications
- Variations of Hodge structure of maximal dimension
- Variations of Hodge structure considered as an exterior differential system: old and new results
- Hypersurface variations are maximal. I
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Lie algebra cohomology and generalized Schubert cells
- Nongenericity of variations of Hodge structure for hypersurfaces of high degree
- Mumford-Tate Groups and Domains
- Variations of Hodge Structure, Legendre Submanifolds, and Accessibility
- Generic integral manifolds for weight two period domains
- SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
- Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure
- Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
- Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
- Cohomology Theory of Lie Groups and Lie Algebras
- On Algebraic Homogeneous Spaces
- ON TORSION IN LIE GROUPS
- Kählerian Coset Spaces of Semisimple Lie Groups
- Lie groups beyond an introduction
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