An explicit description of the reduced Gröbner bases of (x1^{m1},...,xn^{mn},(x1+...+xn)^k) is obtained using lattice paths and a reflection map.
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The Gr\"obner basis for powers of a general linear form in a monomial complete intersection
An explicit description of the reduced Gröbner bases of (x1^{m1},...,xn^{mn},(x1+...+xn)^k) is obtained using lattice paths and a reflection map.