2 problems

Let $X$ be a surface of general type embedded in $\mathbb{CP}^N$, and let $S\subset\mathbb{CP}^2$ be the branch curve of a generic projection of $X$ to $\mathbb{CP}^2$. Almost-solv…

Let $L$ be an ample line bundle on a smooth projective surface $S$, and let $X_m\subset \mathbb{P}^{N(m)}$ be the image of the embedding of $S$ by the complete linear system…