A universal rigid abelian tensor category

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2021-11-22 DOI:10.25537/dm.2022v27.699-717

L. Barbieri-Viale, B. Kahn

引用次数: 1

Abstract

We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This yields a novel approach to Grothendieck’s standard conjecture D and Voevodsky’s smash nilpotence conjecture.

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一个普遍刚性阿贝尔张量范畴

证明了任意刚体加性对称单形范畴都可以映射到刚体阿贝尔对称单形范畴。这为格罗滕迪克的标准猜想D和沃沃兹基的粉碎零幂猜想提供了一种新的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.