Our algorithm has been designed for some applications of lattice reduction. In this section we justify the importance of this algorithm by directly applying it to two classical applications of lattice reduction.
The arguments of Gluck , adapted to the setting of c-polyhedra, now apply to verify our main theorem. Here are the details.
We give a different geometric interpretation of the deletion–contraction relation proved in the previous section, which views the graph hypersurface of Γ as a Milnor fiber for hypersurfaces related to Γ∖e and Γ/e. An advantage of this point of view …
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