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Schubert varieties as variations of Hodge structure
- Publication Year :
- 2012
-
Abstract
- We (1) characterize the Schubert varieties that arise as variations of Hodge structure (VHS); (2) show that the isotropy orbits of the infinitesimal Schubert VHS `span' the space of all infinitesimal VHS; and (3) show that the cohomology classes dual the Schubert VHS form a basis of the invariant characteristic cohomology associated to the infinitesimal period relation (a.k.a. Griffiths transversality).<br />v3: typos corrected
- Subjects :
- Mathematics - Differential Geometry
Schubert variety
Pure mathematics
Transversality
General Mathematics
Hodge theory
Schubert calculus
General Physics and Astronomy
Schubert polynomial
Mathematics::Algebraic Topology
14M15, 14D07, 32G20
Cohomology
Algebra
Mathematics - Algebraic Geometry
Mathematics::Algebraic Geometry
Differential Geometry (math.DG)
Condensed Matter::Superconductivity
FOS: Mathematics
Mumford–Tate group
Algebraic Geometry (math.AG)
Hodge structure
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....76356a1f20095b2464fbcea99181cc7a