关于$\mathbb{P}^n$膨胀的变形Hermitian-Yang-Mills方程

IF 0.5 4区数学 Q3 MATHEMATICS Asian Journal of Mathematics Pub Date : 2020-09-01 DOI:10.4310/ajm.2022.v26.n6.a4

Adam Jacob, Norman Sheu

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引用次数: 6

摘要

研究了复射影空间爆破上的变形Hermitian-Yang-Mills方程。利用对称性，将方程表示为一个ODE，当满足代数稳定性条件时，可以用组合方法求解。这为第一作者T.C. Collins和s.t。一般紧化Kahler流形。

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The deformed Hermitian–Yang–Mills equation on the blowup of $\mathbb{P}^n$

We study the deformed Hermitian-Yang-Mills equation on the blowup of complex projective space. Using symmetry, we express the equation as an ODE which can be solved using combinatorial methods if an algebraic stability condition is satisfied. This gives evidence towards a conjecture of the first author, T.C. Collins, and S.-T. Yau on general compact Kahler manifolds.

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