Peikai Qi

activity

20182026

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math.NT2026

On the Quotient of a Pseudo-null Module

Peikai Qi

Motivated by questions arising in noncommutative Iwasawa theory, let $R$ be a (not necessarily commutative) ring, $T \in R$ a regular central element, and $M$ a pseudo-null $R$ -mod…

math.NT2026

Pseudonullity for fine Selmer groups over multiple $Z_{p}^{d}$ -extensions

Peikai Qi, Ruichen Xu

In this article, we develop vertical control theorems for fine Selmer groups associated with Galois representations and their deformations in $p$ -adic families. We apply them to pr…

On the Quotient of a Pseudo-null Module

Pseudonullity for fine Selmer groups over multiple Zpd​-extensions

Pseudonullity for fine Selmer groups over multiple $Z_{p}^{d}$ -extensions