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A note on Lefschetz fibrations on algebraic surfaces

Year: 2018
Type: preprint
Abstract: Let $S$ be a smooth projective complex algebraic surface and $f\, :\, S\, \longrightarrow\, {\mathbb C}{\mathbb P}^2$ a finite map. Consider a pencil of hyperplane sections on ${\mathbb C}{\mathbb P}^2$ and pull it back to $S$. We address the question whether such a pencil is a Lefschetz pencil on $S$.
Language: English
Open Access status: green
OpenAlex ID: W2807583486
Cites: 2
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Related to: 20