The first p-jet space of an elliptic curve: global functions and lifts of Frobenius
classification
🧮 math.NT
keywords
curveellipticfrobeniusfirstfunctionsgloballiftsspace
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We prove that there are no non-constant global functions and no lifts of Frobenius on the first $p$-jet space on an elliptic curve unless the elliptic curve itself has a lift of Frobenius.
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