2阶28度的k -稳定Fano三倍

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-08-04 DOI:10.1112/jlms.70259

Joseph Malbon

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引用次数: 0

摘要

Fano变异的模空间历来是难以构造的。然而，最近的研究表明，具有固定维数和体积的光滑k -聚稳定Fano变体可以用拟射影模空间参数化。本文证明了所有Picard秩为2，次为28的光滑Fano三重矩阵都是k -聚可稳的，除了我们所描述的一些显式情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

K-stable Fano threefolds of rank 2 and degree 28

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K-stable Fano threefolds of rank 2 and degree 28

Moduli spaces of Fano varieties have historically been difficult to construct. However, recent work has shown that smooth K-polystable Fano varieties of fixed dimension and volume can be parametrised by a quasi-projective moduli space. In this paper, we prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K-polystable, except for some explicit cases which we describe.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.