Expected Centre of Mass of the Random Kodaira Embedding
Expected Centre of Mass of the Random Kodaira Embedding
复制标题
随机小平嵌入的预期质量中心
DOI：
10.1007/s12220-021-00778-y
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yoshinori Hashimoto
中科院分区：
文献类型：
--
作者：
Yoshinori Hashimoto
设是光滑射影簇。对于每一个由周围线性作用引起的嵌入，我们可以关联一个称为质心的矩阵，它非线性地依赖于。关于由Haar测度和高斯酉系综导出的概率测度，证明了对任意光滑射影簇，质心的期望是单位矩阵的常数倍.
Letbe a smooth projective variety. To eachwhich induces the embeddinggiven by the ambient linear action we can associate a matrixcalled the centre of mass, which depends nonlinearly ong. With respect to the probability measure oninduced by the Haar measure and the Gaussian unitary ensemble, we prove that the expectation of the centre of mass is a constant multiple of the identity matrix for any smooth projective variety.