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Determinantal Varieties

  • E. Arbarello
  • M. Cornalba
  • P. A. Griffiths
  • J. Harris
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 267)

Abstract

In this chapter we have collected a few foundational results about determinantal varieties that we will need in later chapters. The main application of the results in this chapter will be to the varieties of special divisors on curves. These varieties have in fact a natural determinantal structure defined in terms of the Brill-Noether matrix, and their study is the central theme of this book. Another ubiquitous example of determinantal variety is the one of rational normal scrolls.

Keywords

Vector Bundle Chern Class Tangent Cone Schubert Variety Determinantal Variety 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • E. Arbarello
    • 1
  • M. Cornalba
    • 2
  • P. A. Griffiths
    • 3
  • J. Harris
    • 4
  1. 1.Dipartimento di Matematica, Istituto “Guido Castelnuovo”Università di Roma “La Sapienza”RomaItalia
  2. 2.Dipartimento di MatematicaUniversità di PaviaPaviaItalia
  3. 3.Office of the ProvostDuke UniversityDurhamUSA
  4. 4.Department of MathematicsBrown UniversityProvidenceUSA

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