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On the Kodaira dimension of Hurwitz spaces (2101.12264v4)

Published 28 Jan 2021 in math.AG

Abstract: We show that the canonical bundle of the Hurwitz stack classifying covers of genus g>1 and degree k>2 of the projective line is big. We show that all coarse moduli spaces of trigonal curves of genus g>1 are of general type.

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