We develop new methods of both constructing and obstructing symplectic embeddings into nontoric rational surfaces using the theory of Newton–Okoukov bodies. Applications include sharp embedding results for concave toric domains into nontoric rational surfaces, and new cases of nonexistence for infinite staircases in the nontoric setting.

中文翻译：

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牛顿-奥孔科夫体和非环有理曲面的辛嵌入

我们使用牛顿-奥库科夫体理论开发了构建和阻碍非环有理曲面辛嵌入的新方法。应用包括凹复曲面域到非复曲面有理曲面中的尖锐嵌入结果，以及非复曲面设置中无限楼梯不存在的新情况。