论文标题

一些$ n $ point Fano四倍的模量

Some Moduli of $n$-pointed Fano Fourfolds

论文作者

Awada, Hanine, Bolognesi, Michele, Stagliano', Giovanni

论文摘要

该注释的对象是立方四倍的模量空间(分别,Gushel-mukai四倍),其中包含一些特殊的理性表面。在一些关于此类表面家庭的假设下,我们开发了一种通用方法来展示$ n $ the of $ n $ the the Thisfolds的Moduli空间的不合理性。我们将其应用于最近在文献中出现的一些立方四倍的Codimension 1基因座(分别,Gushel-Mukai四倍)。

The object of this note is the moduli spaces of cubic fourfolds (resp., Gushel-Mukai fourfolds) which contain some special rational surfaces. Under some hypotheses on the families of such surfaces, we develop a general method to show the unirationality of the moduli spaces of the $n$-pointed such fourfolds. We apply this to some codimension 1 loci of cubic fourfolds (resp., Gushel-Mukai fourfolds) appeared in the literature recently.

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