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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
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.
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页数：27
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