论文标题
Hecke操作员和幽灵猜想的明确计算
An explicit computation of the Hecke operator and the ghost conjecture
论文作者
论文摘要
在本文中，我们调查了p = 5的Hecke操作员，并表明矩阵的上部未成年人没有零核心，有趣的是，在Bergdall和Pollack的幽灵猜想中遵循相同的幽灵模式。由于这个事实，我们猜想在这种情况下，Hecke动作的斜率可以使用幽灵系列的适当变体来计算。假设这个结果，我们为斜率达到了类似于gouvea（k-1）/（p+1）猜想的斜率的上限。
In this paper, we investigate the Hecke operator at p = 5 and show that the upper minors of the matrix have non zero corank and, interestingly, follow the same ghost pattern in the Ghost conjecture of Bergdall and Pollack. Due to this facts, we conjecture that the slope of Hecke action in this case can be computed using an appropriate variant of ghost series. Assume this result, we achieve an upper bound for the slopes that is similar to the Gouvea's (k-1)/(p+1) conjecture.
