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

Rifat Jumagulov

Let $X_m^4=\{x_0^m+\cdots +x_5^m=0\}\subset {\mathbb{P}}^5$ 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\…