Schubert varieties as variations of Hodge structure

• C. Robles ^[1]
  1. [1] Texas A&M University

     Texas A&M University

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 20, Nº. 3, 2014, págs. 719-768
• Idioma: inglés
• DOI: 10.1007/s00029-014-0148-8
• Enlaces
  • Texto completo
• Resumen

  • 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 to the Schubert VHS form a basis of the invariant characteristic cohomology associated with the infinitesimal period relation (a.k.a. Griffiths’ transversality).