Work

Quadrics on Gushel-Mukai varieties

Year: 2024

Type: preprint

Abstract: We study Hilbert schemes of quadrics of dimension $k \in \{0,1,2,3\}$ on smooth Gushel-Mukai varieties $X$ of dimension $n \in \{2,3,4,5,6\}$ by relating them to the relative Hilbert schemes of linear subspaces of dimension $k + 1$ of a certain family, naturally associated with $X$, of quadrics of dimension $n - 1$ over the blowup of $\mathbf{P}^5$ at a point.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.03528

Authors: Debarre, Olivier, Kuznetsov, Alexander

Institutions: National Research University Higher School of Economics, Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, Steklov Mathematical Institute

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, National Research University Higher School of Economics

Awards: G434337789, G7156352388

OpenAlex ID: W4403556478

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