• Media type: E-Article
  • Title: The connectedness of symmetric and skew-symmetric degeneracy loci: even ranks
  • Contributor: Tu, Loring W.
  • Published: American Mathematical Society (AMS), 1989
  • Published in: Transactions of the American Mathematical Society, 313 (1989) 1, Seite 381-392
  • Language: English
  • DOI: 10.1090/s0002-9947-1989-0930069-7
  • ISSN: 0002-9947; 1088-6850
  • Origination:
  • Footnote:
  • Description: A degeneracy locus is the set of points where a vector-bundle map has rank at most a given integer. Such a set is symmetric or skew-symmetric according as whether the vector-bundle map is symmetric or skew-symmetric. We prove a connectedness result, first conjectured by Fulton and Lazarsfeld, for skew-symmetric degeneracy loci and for symmetric degeneracy loci of even ranks.
  • Access State: Open Access