Abstract
The outside corners of a monomial ideal are the maximal standard monomials modulo that ideal. Let c n ( p) be the maximal number of outside corners of any monomial ideal generated by p monomials in n variables. We show that c n(p) = ⊖(p [ n 2 ] ) for fixed n. An exact calculation for n = 4 shows that the function c n ( p) is not a polynomial in p.
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