19 citations · 158 across the 40 of their papers we have counts for
6 papers · 1 filter
Some remarks on Kida's formula when
Meng Fai Lim
The Kida's formula in classical Iwasawa theory relates the Iwasawa -invariants of -extensions of number fields. Analogue of this formula was subsequently established for the…
On the growth of even -groups of rings of integers in -adic Lie extensions
Meng Fai Lim
Let be an odd prime number. In this paper, we study the growth of the Sylow -subgroups of the even -groups of rings of integers in a -adic Lie extension. Our results g…
On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in -extensions
Meng Fai Lim
Let be an abelian variety defined over a number field . We prove a control theorem for the fine Selmer group of the abelian variety which essentially says that the kerne…
On the algebraic functional equation for the mixed signed Selmer group over multiple -extensions
Suman Ahmed, Meng Fai Lim
Let be an elliptic curve defined over a number field with good reduction at all primes above a fixed odd prime , where at least one of which is a supersingular prime of .…
On the cohomology of Kobayashi's plus/minus norm groups and applications
Meng Fai Lim
The plus and minus norm groups are constructed by Kobayashi as subgroups of the formal group of an elliptic curve with supersingular reduction, and they play an important role in K…
Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above p
Antonio Lei, Meng Fai Lim
Let be an odd prime number, and let be an elliptic curve defined over a number field such that has semistable reduction at every prime of above and is sup…