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Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves

Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves

We consider the moduli space \mathcal H_{g,n} of n -pointed smooth hyperelliptic curves of genus g . In order to get cohomological information we wish to make \mathbb S_n -equivariant counts of the numbers of points defined over finite fields of this moduli space. We find recurrence relations in the …