Tarigradschi, MihailXu, Weihong2024-02-192024-02-192023-11-010021-8693https://hdl.handle.net/10919/118056We prove that Schubert varieties in potentially different Grassmannians are isomorphic as varieties if and only if their corresponding Young diagrams are identical up to a transposition. We also discuss a generalization of this result to Grassmannian Richardson varieties. In particular, we prove that Richardson varieties in potentially different Grassmannians are isomorphic as varieties if their corresponding skew diagrams are semi-isomorphic as posets, and we conjecture the converse. Here, two posets are said to be semi-isomorphic if there is a bijection between their sets of connected components such that the corresponding components are either isomorphic or opposite.Pages 225-24117 page(s)application/pdfenIn CopyrightSchubert varietyGrassmannian varietyIsomorphism problemYoung diagramsArticlehttps://doi.org/10.1016/j.jalgebra.2023.06.020633Xu, Weihong [0000-0003-0990-5327]1090-266X