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Solving the quartic with a pencil. (English) Zbl 1134.12001

The text presents a nice, easy to read and easy to follow deduction of the solution of the general quartic equation by using the notion of “pencil”, classical in algebraic geometry. As a by-product, the reader is offered a walk through different aspects of complex projective algebraic geometry and symplectic manifolds.
Reviewer’s remark: It could be a good exercise for Mathematics students at the University with a certain background in geometry, to read and try to understand the paper by themselves. Most of them should succeed.

MSC:

12E12 Equations in general fields
14Q05 Computational aspects of algebraic curves
14C21 Pencils, nets, webs in algebraic geometry
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