3 problems

Let $X$ be a smooth projective $n$-fold, and let $N_H^rH^\bullet(X,\mathbb{Q})$ denote the Hodge coniveau filtration. Hodge-theoretic polynomial decomposition conjecture. $X$ admit…

Let $X$ be a smooth projective hyper-Kähler $2n$-fold, let $h_X$ be a polarization, and let $Z_{\mathrm{lef}}\in\operatorname{CH}^2(X\times X)$ be a cycle such that its cohomologic…

Let $X$ be a smooth projective variety. A degree $l$ polynomial decomposition of the diagonal means a decomposition of the diagonal whose non-supported part lies in the subalgebra…