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- W3170202284 abstract "Let $p$ be a prime number and let $k$ be an algebraically closed field of characteristic $p$. A $BT_1$ group scheme over $k$ is a finite commutative group scheme which arises as the kernel of $p$ on a $p$-divisible (BarsottiâTate) group. Our main result is that every $BT_1$ group scheme over $k$ occurs as a direct factor of the $p$-torsion group scheme of the Jacobian of an explicit curve defined over ${mathbb F}_p$. We also treat a variant with polarizations. Our main tools are the Kraft classification of $BT_1$ group schemes, a theorem of Oda, and a combinatorial description of the de Rham cohomology of Fermat curves." @default.
- W3170202284 created "2021-06-22" @default.
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- W3170202284 date "2021-11-04" @default.
- W3170202284 modified "2023-10-17" @default.
- W3170202284 title "Every $BT_1$ group scheme appears in a Jacobian" @default.
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- W3170202284 doi "https://doi.org/10.1090/proc/15681" @default.
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