Let k be a field and denote by SH(k) the motivic stable homotopy category. Recall its full subcategory HI_0(k) of effective homotopy modules. Write NAlg(HI_0(k)) for the category of normed motivic spectra with underlying spectrum an effective homotopy module. In this article we provide an explicit description of NAlg(HI_0(k)) as the category of sheaves with generalized transfers and \'etale norms, and explain how this is closely related to the classical notion of Tambara functors.

中文翻译：

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Motivic Tambara函子

令 k 为一个域，并用 SH(k) 表示动机稳定同伦范畴。回想一下其有效同伦模块的完整子类别 HI_0(k)。将 NAlg(HI_0(k)) 写为具有潜在频谱的有效同伦模块的赋范动力谱类别。在本文中，我们将 NAlg(HI_0(k)) 明确描述为具有广义转移和 \'etale 范数的滑轮的类别，并解释了这与 Tambara 函子的经典概念如何密切相关。