Slopes for higher rank Artin-Schreier-Witt Towers

We fix a monic polynomial $\bar f(x) \in \mathbb{F}_q[x]$ over a finite field of characteristic $p$, and consider the $\mathbb{Z}_{p^{\ell}}$-Artin-Schreier-Witt tower defined by $\bar f(x)$; this is a tower of curves $\cdots \to C_m \to C_{m-1} \to \cdots \to C_0 =\mathbb{A}^1$, whose Galois group is canonically isomorphic to $\mathbb{Z}_{p^\ell}$, the degree $\ell$ unramified extension of $\mathbb{Z}_p$, which is abstractly isomorphic to $(\mathbb{Z}_p)^\ell$ as a topological group. We study the Newton slopes of zeta functions of this tower of curves. This reduces to the study of the Newton slopes of L-functions associated to characters of the Galois group of this tower. We prove that, when the conductor of the character is large enough, the Newton slopes of the L-function asymptotically form a finite union of arithmetic progressions. As a corollary, we prove the spectral halo property of the spectral variety associated to the $\mathbb{Z}_{p^{\ell}}$-Artin-Schreier-Witt tower. This extends the main result in [DWX] from rank one case $\ell=1$ to the higher rank case $\ell\geq 1$.Comment: 20 page

Human Security: China’s Discourses and Experience

This article addresses three research questions by elaborating on how the idea of human security is understood or defined by the government and social actors in China; how the distinction between the “protection” aspect and “empowerment” aspect of human security is understood and accepted; and what particular downside risks are perceived as pressing human security issues in China. Amongst these the major ones include air pollution, food security, and cyber security. The study reveals that, whilst as a term “human security” is not frequently used, there have been significant discussions leading to the consideration and implementation of various human security practices in China. The idea of human security has been firmly established and threats to human security detected. For both the government and academic community in China, human security and state security are not necessarily confrontational but can rather be combined, often complimenting each other. Recent developments in China are pointing to a positive direction in terms of human security in the country

Human Security: China's Discourses and Experience

This article addresses three research questions by elaborating on how the idea of human security is understood or defined by the government and social actors in China; how the distinction between the "protection" aspect and "empowerment" aspect of human security is understood and accepted; and what particular downside risks are perceived as pressing human security issues in China. Amongst these the major ones include air pollution, food security, and cyber security. The study reveals that, whilst as a term "human security" is not frequently used, there have been significant discussions leading to the consideration and implementation of various human security practices in China. The idea of human security has been firmly established and threats to human security detected. For both the government and academic community in China, human security and state security are not necessarily confrontational but can rather be combined, often complimenting each other. Recent developments in China are pointing to a positive direction in terms of human security in the country