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 P^1. Then we study their orbits in the Grassmannian of lines, under the natural action of the general linear group.

Pencils of quadrics of constant rank and their orbits

Emilia Mezzetti;
2023-01-01

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 P^1. Then we study their orbits in the Grassmannian of lines, under the natural action of the general linear group.
2023
2023
Pubblicato
http://hdl.handle.net/10077/34102
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3066543
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