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Creators/Authors contains: "Vakil, Ravi"

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  1. For$$2 \leq d \leq 5$$, we show that the class of the Hurwitz space of smooth degree$$d$$, genus$$g$$covers of$$\mathbb {P}^1$$stabilizes in the Grothendieck ring of stacks as$$g \to \infty$$, and we give a formula for the limit. We also verify this stabilization when one imposes ramification conditions on the covers, and obtain a particularly simple answer for this limit when one restricts to simply branched covers. 
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  2. null (Ed.)