2 problems

Let $d,e\geq 2$ be relatively prime integers and let $r,s\geq 2$. Let $\mathbb{P}(\underbrace{d,\ldots,d}_{r},\underbrace{e,\ldots,e}_{s})$ denote the weighted projective space wit…

Let $n_1,\ldots,n_r$ be positive integers, and let $d_1,\ldots,d_r$ be positive integers. For a projective variety $X$ and a line bundle $\mathscr{L}$, write…