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Higher Gaussian Maps on K3 surfaces

Published 16 Dec 2021 in math.AG | (2112.09101v2)

Abstract: We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surface. As an application, we show that the higher $k$-th Gauss map for a general curve of genus $g$ (that depends quadratically with $k$) is surjective.

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