Mathematical Research Letters
Volume 21 (2014)
The first $p$-jet space of an elliptic curve: global functions and lifts of Frobenius
Pages: 677 – 689
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.