The birational type of the moduli space of even spin curves
classification
🧮 math.AG
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dimensionkodairacurvesevenmodulispacespintype
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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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