Rifat Jumagulov

collaborators

3 papers

math.AG2026

The Hodge conjecture for Fermat fourfolds of odd degree at most 199

Rifat Jumagulov

Let $X_{m}^{4} = {x_{0}^{m} + \dots + x_{5}^{m} = 0} \subset P^{5}$ be the Fermat fourfold of degree $m$ . We give a computer-assisted proof of the Hodge conjecture for $X_{m}^{4}$ for every odd $m\…

math.NT2026

Galois-invariant Néron--Severi ranks of Fermat surfaces over number fields: a Galois module, closed forms, a threshold, and exact tables

Rifat Jumagulov

For a Fermat surface X_d: x_0^d+x_1^d+x_2^d+x_3^d=0 we compute the Galois-invariant Neron-Severi (Picard) rank rho_K(X_d) = dim (NS(X) \otimes Q)^{Gal(Qbar/K)}: for every subfield…

math.MG2026

A dual linear programming bound for sphere packing in dimension 36

Rifat Jumagulov

We construct an explicit dual-feasible point for the Cohn--Elkies linear program in dimension $36$ , built from the space of weight- $18$ modular forms for $Γ_{0} (24)$ following the me…