Higher Gaussian Maps on K3 surfaces
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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| Main Author: | |
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| Format: | Journal Article |
| Language: | English |
| Published: |
16-12-2021
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2112.09101 |