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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)
  6. Pencils of singular quadrics of constant rank and their orbits
 
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Pencils of singular quadrics of constant rank and their orbits

Boralevi, Ada
•
Mezzetti, Emilia
2022
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ISSN
0049-4704
DOI
10.13137/2464-8728/34102
http://hdl.handle.net/10077/34102
  • Article

e-ISSN
2464-8728
Abstract
We give a geometric description of singular pencils of quadrics of constant rank, relating them to the splitting type of some naturally associated vector bundles on P1. Then we study their orbits in the Grassmannian of lines, under the natural action of the general linear group.
Journal
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics 
Subjects
  • Symmetric matrices

  • pencils of quadrics

  • general linear group

  • orbit

Publisher
EUT Edizioni Università di Trieste
Source
Ada Boralevi, Emilia Mezzetti, "Pencils of singular quadrics of constant rank and their orbits" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)", EUT Edizioni Università di Trieste, Trieste, 2022, pp. 331-352
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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