Zariski chambers on surfaces of high Picard number

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We present an improved algorithm for the computation of Zariski chambers on
algebraic surfaces. The new algorithm significantly outperforms the so far
available method and allows therefore to treat surfaces of high Picard number,
where huge chamber numbers occur. As an application, we efficiently compute the
number of chambers supported by the lines on the Segre-Schur quartic.

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