Abstract

We are interested in conjecturing the sign of the pizza quantity P ( H , B ( a , R ) ) for the irreducible Coxeter arrangements H of type An , where n ≡ 2 or 3 mod 4 , and type Dn , where n is odd. Our approach is to express the pizza quantity in terms of the pizza quantity of subarrangements known as 2-structures, and we obtain the first non-zero term in the multivariate Taylor expansion.

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