Zariski chambers on surfaces of high Picard number
  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. 
Thomas Bauer and David Schmitz
math.AG math.CO