# Computing basepoints of linear series in the plane

@article{Lubbes2018ComputingBO, title={Computing basepoints of linear series in the plane}, author={Niels Lubbes}, journal={ArXiv}, year={2018}, volume={abs/1805.03452} }

We present an algorithm for detecting basepoints of linear series of curves in the plane. Moreover, we give an algorithm for constructing a linear series of curves in the plane for given basepoints. The underlying method of these algorithms is the classical procedure of blowing up points in the plane. We motivate the algorithmic version of this procedure with several applications.

## 5 Citations

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We classify webs of minimal degree rational curves on surfaces and give a criterion for webs being hexagonal. In addition, we classify Neron–Severi lattices of real weak del Pezzo surfaces. These two…

### Surfaces that are covered by two pencils of circles

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We list up to Möbius equivalence all possible degrees and embedding dimensions of real surfaces that are covered by at least two pencils of circles, together with the number of such pencils. In…

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