An Introduction to HASE = Holes in Pointed Affine Semigroups
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HASE is a program that computes holes of pointed, affine semigroups. It is an implementation of the algorithm described by Hemmecke, Yoshida, and Takemura, for more information see [Hemmecke et al., 2009]. The program itself is written in Python 3, but it internally uses (and hence is dependent on) Normaliz[Bruns et al.], Macaulay2 [Grayson and Stillman], and on 4ti2 [4ti2 team, 2008]. The dependence on 4ti2 however is not strict, as there is the –Nsolve option avoiding 4ti2.