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Birational models of π“œ2,2 arising as moduli of curves with nonspecial divisors

Drew Johnson and Alexander Polishchuk
From the journal Advances in Geometry


We study birational projective models of π“œ2,2 obtained from the moduli space of curves with nonspecial divisors. We describe geometrically which singular curves appear in these models and show that one of them is obtained by blowing down the Weierstrass divisor in the moduli stack of 𝓩-stable curves π“œ2,2(𝓩) defined by Smyth. As a corollary, we prove projectivity of the coarse moduli space M2,2(𝓩).

MSC 2010: 14H10; 14D23

  1. Communicated by: R. Cavalieri


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Received: 2018-09-30
Revised: 2019-01-30
Published Online: 2021-01-22
Published in Print: 2021-01-27

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