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arXiv · 2206.00503

Pencils of singular quadrics of constant rank and their orbits

Ada Boralevi·Emilia Mezzetti
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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 $\mathbb{P}^1$. Then we study their orbits in the Grassmannian of lines, under the natural action of the general linear group.

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Ada Boralevi, Emilia Mezzetti. 2022-06-01. Pencils of singular quadrics of constant rank and their orbits. https://arxiv.org/abs/2206.00503

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