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A simplicial approach to effective divisors in M¯0,n

A simplicial approach to effective divisors in M¯0,n

We study the Cox ring and monoid of effective divisor classes of M¯0,n≅Blℙn−3⁠, over a ring R. We provide a bijection between elements of the Cox ring, not divisible by any exceptional divisor section, and pure-dimensional singular simplicial complexes on {1,…,n−1} with weights in R∖{0} satisfying a zero-tension condition. This …