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- W3100186989 abstract "A polarized abelian variety (X,lambda) of dimension g over a local field K determines an admissible representation of GSpin_{2g+1}(K). We show that the restriction of this representation to Spin_{2g+1}(K) is reducible if and only if X is isogenous to its twist by the quadratic unramified extension of K. When g=1 and K = Q_p, we recover the well-known fact that the admissible GL_2(K) representation attached to an elliptic curve E is reducible upon restriction to SL_2(K) if and only if E has supersingular reduction." @default.
- W3100186989 created "2020-11-23" @default.
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- W3100186989 date "2015-01-01" @default.
- W3100186989 modified "2023-09-27" @default.
- W3100186989 title "A note onL-packets and abelian varieties over local fields" @default.
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- W3100186989 doi "https://doi.org/10.2140/pjm.2015.273.395" @default.
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