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arXiv · 2112.09101

Higher Gaussian Maps on K3 surfaces

Angel David Rios Ortiz
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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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Angel David Rios Ortiz. 2021-12-16. Higher Gaussian Maps on K3 surfaces. https://arxiv.org/abs/2112.09101

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