Mathematics > Algebraic Geometry
[Submitted on 30 Aug 2025
]
Title: The Balmer spectrum of Voevodsky motives and pure symbols
Title: Voevodsky动机的巴尔末谱和纯符号
Abstract: In this article we introduce invariants of points of the Balmer spectrum of the Voevodsky motivic category whose values are "light Rost cycle submodules" of the module of pure symbols in Milnor's K-theory (mod 2). As an application, we show that isotropic points of the Balmer spectrum are closed. We also introduce the notion of points of a boundary type and show that this class contains isotropic points, but not the etale one.
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