SIMULTANEOUS ARITHMETIC PROGRESSIONS ON ALGEBRAIC CURVES
SIMULTANEOUS ARITHMETIC PROGRESSIONS ON ALGEBRAIC CURVES
A simultaneous arithmetic progression (s.a.p.) of length k consists of k points (x i , y σ(i) ), where [Formula: see text] and [Formula: see text] are arithmetic progressions and σ is a permutation. Garcia-Selfa and Tornero asked whether there is a bound on the length of an s.a.p. on …