Reading Barth, Peters: Compact complex surfaces, i stumbled across the following:
Let $Y$ be an algebraic surface over $k =\mathbb{C}$, and $\mathcal{L}$ an invertible sheaf on $Y$. Denote by $p: L \rightarrow Y$ the total space of $\mathcal{L}$ and consider the invertible sheaf $p^*(\mathcal{L})$ on $L$.
Now according to the book, this bundle is supposed to have a "tautological section", $ t \in \Gamma(L, p^*(\mathcal{L})) $ but i have no idea what is meant. I thought it was the zero section, but in this case it is clear (from the context in the book) that they do not mean that! Could anybody help me out here?
It's on page 54, on the bottom, in section 17 on cyclic coverings.
Thanks!