We revisit the Harder-Narasimhan stratification on a minuscule padic flag variety, by the theory of modifications of G-bundles on the FarguesFontaine curve. We compare the Harder-Narasimhan strata with the Newton strata introduced by Caraiani-Scholze. As a consequence, we get further equivalent conditions in terms of p-adic Hodge-Tate period domains for fully Hodge-Newton decomposable pairs. Moreover, we generalize these results to arbitrary cocharacters case by considering the associated B_{dR}^+-affine Schubert varieties. Applying Hodge-Tate period maps, our constructions give applications to p-adic geometry of Shimura varieties and their local analogues. 

　　Publication: 

　　Transactions of the American Mathematical Society 

　　DOI: 10.1090/tran/8859 

　　Author: 

　　Xu Shen 

　　Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No. 55, Zhongguancun East Road, Beijing 100190, China 

　　University of Chinese Academy of Sciences, Beijing 100049, China 

　　Email: shen@math.ac.cn