A note on Lefschetz fibrations on algebraic surfaces

Kalyan Banerjee

A note on Lefschetz fibrations on algebraic surfaces

Algebraic Geometry 2018-06-07 v1

Authors: Kalyan Banerjee

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 $S$ .

Keywords

lefschetz fibration del pezzo surfaces algebraic surfaces

Cite

@article{arxiv.1806.02074,
  title  = {A note on Lefschetz fibrations on algebraic surfaces},
  author = {Kalyan Banerjee},
  journal= {arXiv preprint arXiv:1806.02074},
  year   = {2018}
}

Comments

20 pages

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