3 problems

Kikuta–Takahashi's conjecture. One has

Let $X$ be a smooth projective variety over $\mathbb{C}$ and let $D^b(X)$ denote its bounded derived category of coherent sheaves. Let $\mathcal{N}(X)$ be the numerical Grothendiec…

Let $Y$ be a smooth proper variety over $\mathbb{C}$. Write ${\mathcal D}^b(Y)$ for its bounded derived category of coherent sheaves, and let ${\rm End}^{FM}({\mathcal D}^b(Y))$ de…