TY - JOUR
T1 - Unlikely intersection problems for restricted lifts of a p-th power
AU - Peng, Wayne
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2023/8
Y1 - 2023/8
N2 - We applied the theory of perfectoid spaces to prove dynamical versions of the Manin-Mumford conjecture, Mordell-Lang conjecture, and Tate-Voloch conjecture for lifts of a p-th power, generalizing the work of Xie in [39] for lifts of Frobenius.
AB - We applied the theory of perfectoid spaces to prove dynamical versions of the Manin-Mumford conjecture, Mordell-Lang conjecture, and Tate-Voloch conjecture for lifts of a p-th power, generalizing the work of Xie in [39] for lifts of Frobenius.
KW - Lifts of p-th power
KW - Perfectoid space
KW - The dynamical Manin-Munford conjecture
KW - The dynamical Mordell-Lang conjecture for the coherent backward orbits
KW - The Tate-Voloch conjecture
KW - Unlikely intersection problem
UR - http://www.scopus.com/inward/record.url?scp=85150934303&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2023.01.015
DO - 10.1016/j.jnt.2023.01.015
M3 - 期刊論文
AN - SCOPUS:85150934303
SN - 0022-314X
VL - 249
SP - 21
EP - 48
JO - Journal of Number Theory
JF - Journal of Number Theory
ER -