关于变形理论和形式化猜想的几点评论

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-02-14 DOI:10.1007/s11565-024-00500-0

Huachen Chen, Laura Pertusi, Xiaolei Zhao

引用次数: 0

摘要

利用班迪埃拉、马内蒂和梅亚兹尼证明的代数准则，我们证明了在 K3 曲面的有界派生类中具有线性还原自变群的普遍可粘物体的形式性猜想。作为应用，我们证明了古谢尔-穆凯三维库兹涅佐夫分量和四元二次实体中多稳对象的形式性猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some remarks about deformation theory and formality conjecture

Using the algebraic criterion proved by Bandiera, Manetti and Meazzini, we show the formality conjecture for universally gluable objects with linearly reductive automorphism groups in the bounded derived category of a K3 surface. As an application, we prove the formality conjecture for polystable objects in the Kuznetsov components of Gushel–Mukai threefolds and quartic double solids.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.