We study independence of symplectic embeddings of the theory of Ekedahl--Oort stratifications on Shimura varieties of Hodge type, by comparing two different embeddings with a third one. The main results are as follows.
1. The Ekedahl--Oort stratification is independent of the choices of symplectic embeddings.
2. Under certain reasonable assumptions, there is certain functoriality for Ekedahl--Oort stratifications with respect to morphisms of Shimura varieties.
"Some Remarks on Ekedahl--Oort Stratifications." Taiwanese J. Math. Advance Publication 1 - 15, 2021. https://doi.org/10.11650/tjm/201207