The Horrocks-Mumford bundle restricted to planes

• Autores: Ada Boralevi
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 58, Fasc. 1, 2007, págs. 101-117
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We study the behavior of the HorrocksMumford bundle FHM when restricted to a plane P2 _ P4, looking for all possible minimal free resolutions for the restricted bundle. To each of the 6 resolutions (4 stable and 2 unstable) we find, we then associate a subvariety of the GrassmannianG(2, 4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work

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