DHYM connections on higher rank holomorphic vector bundles over P(TP2)

被引：0

作者：

Correa, Eder M. ^{[1
]}

机构：

[1] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque Holanda 651,Cidade Univ, BR-13083859 Campinas, SP, Brazil

来源：

MATHEMATISCHE ZEITSCHRIFT | 2024年 / 308卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

BRIDGELAND STABILITY CONDITIONS; YANG-MILLS CONNECTIONS; THREEFOLDS; METRICS; PRODUCT;

D O I：

10.1007/s00209-024-03592-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the first explicit non-trivial example of deformed Hermitian Yang-Mills (dHYM) connection on a higher rank slope-unstable holomorphic vector bundle over a Fano threefold. Additionally, we provide a sufficient algebraic condition in terms of central charges for the existence of dHYM connections on Whitney sum of holomorphic line bundles over rational homogeneous varieties. As a consequence, we obtain several new examples of dHYM connections on higher rank holomorphic vector bundles.

引用

页数：27

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[1] DHYM connections on higher rank holomorphic vector bundles over P(TP2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {P}}(T_{{\mathbb {P}^{2}}})$$\end{document}
Eder M. Correa
Mathematische Zeitschrift, 2024, 308 (2)
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