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.File in questo prodotto:
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