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AUTHOR Polishchuk, Alexander
TITLE Birational models of M-2,M-2 arising as moduli of curves with nonspecial divisors
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JOURNAL ADVANCES IN GEOMETRY, 2021
ABSTRACT We study birational projective models of M-2,M-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 (M) over bar (2,2)(Z) defined by Smyth. As a corollary, we prove projectivity of the coarse moduli space (M) over bar (2,2)(Z.).
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