Peikai Qi

collaborators

3 papers

math.NT2024

An Analogue of Greenberg's Conjecture for CM Fields

Qi Peikai, Matt Stokes

Let $K$ be a CM field and $K^{+}$ be the maximal totally real subfield of $K$ . Assume that the primes above $p$ in $K^{+}$ split in $K$ . Let $S$ be a set containing exactly half of the…

math.NT2024

On the Non p-Rationality and Iwasawa Invariants of Certain Real Quadratic Fields

Peikai Qi, Matt Stokes

Let $p$ be an odd prime, and $m, r \in Z^{+}$ with $m$ coprime to $p$ . In this paper we investigate the real quadratic fields $K = Q (m^{2} p^{2 r} + 1)$ . We first…

math.NT2024

Iwasawa $I^»$ invariant and Massey product

Peikai Qi

We compute Iwasawa $I^»$ invariant in terms of Massey products in Galois cohomology with restricted ramification. When applied to imaginary quadratic fields and cyclotomic fields, w…

An Analogue of Greenberg's Conjecture for CM Fields

On the Non p-Rationality and Iwasawa Invariants of Certain Real Quadratic Fields

Iwasawa I^» invariant and Massey product

Iwasawa $I^»$ invariant and Massey product