古谢尔-穆凯变种上的四边形

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-05 DOI:arxiv-2409.03528

Olivier Debarre, Alexander Kuznetsov

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引用次数: 0

摘要

我们研究了维数为 $k in \{0,1,2,3\}$ 的光滑 Gushel-Mukai varieties $X$ 上维数为 $n in \{2,3,4,5、6\}$ 的维数为 $k + 1$ 的线性子空间的相对希尔伯特方案相关联，自然与 $X$ 相关联。

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Quadrics on Gushel-Mukai varieties

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.

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arXiv - MATH - Algebraic Geometry

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