Abstract
Let k be an algebraically closed field of characteristic p ≠ 0 and \({X_{g} \subset A_{k}^{3}}\) be a normal surface defined by an equation of the form zp = g(x, y). The two original algorithms for calculating the group of Weil divisors of X g contain key errors. This paper presents an algorithm that corrects and improves upon the earlier attempts.
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Lang, J. A new algorithm for computing class groups of Zariski surfaces. Arab. J. Math. 2, 287–293 (2013). https://doi.org/10.1007/s40065-013-0070-5
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DOI: https://doi.org/10.1007/s40065-013-0070-5