The birational type of the moduli space of even spin curves

Details The birational type of the moduli space of even spin curves The birational type of the moduli space of even spin curves

2008-05-15

arxiv.org/abs/0805.2424v2

Advances in Mathematics 223 (2010), 433-443

Mathematics

Algebraic Geometry

9 pages. Improved presentation, to appear in Advances in Mathematics

Scientific paper

We determine the Kodaira dimension of the moduli space of even spin curves
for all genera, with one possible exception: The scheme S_g has negative
Kodaira dimension for g<8 and it is of general type for g>8. The Kodaira
dimension of S_8 is non-negative.

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