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- W4311386903 abstract "The most fundamental example of mirror symmetry compares the Fermat hypersurfaces in P^n and P^n/G, where G is a finite group that acts on P^n and preserves the Fermat hypersurface. We generalise this to hypersurfaces in Grassmannians, where the picture is richer and more complex. There is a finite group G that acts on the Grassmannian Gr(n,r) and preserves an appropriate Calabi-Yau hypersurface. We establish how mirror symmetry, toric degenerations, blow-ups and variation of GIT relate the Calabi-Yau hypersurfaces inside Gr(n,r) and Gr(n,r)/G. This allows us to describe a compactification of the Eguchi-Hori-Xiong mirror to the Grassmannian, inside a blow-up of the quotient of the Grassmannian by G." @default.
- W4311386903 created "2022-12-25" @default.
- W4311386903 creator A5020574319 @default.
- W4311386903 creator A5040903377 @default.
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- W4311386903 date "2021-10-14" @default.
- W4311386903 modified "2023-10-18" @default.
- W4311386903 title "Unwinding toric degenerations and mirror symmetry for Grassmannians" @default.
- W4311386903 doi "https://doi.org/10.48550/arxiv.2110.07273" @default.
- W4311386903 hasPublicationYear "2021" @default.
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