Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process

In this paper, the strong averaging principle is researched for a class of H\"{o}lder continuous drift slow-fast SPDEs with $\alpha$-stable process by the Zvonkin's transformation and the classical Khasminkii's time discretization method. As applications, an example is also provided to explain our result.
Comment: 21 pages. To appear in Front. Math. China