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| TITLE | Birational models of M-2,M-2 arising as moduli of curves with nonspecial divisors |
|---|---|
| KIAS AUTHORS | Polishchuk, Alexander |
| JOURNAL | ADVANCES IN GEOMETRY, 2021 |
| ARCHIVE | |
| 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.). |
