# Vanishing in stable motivic homotopy sheaves

**Authors:** Kyle Ormsby, Oliver R\"ondigs, Paul Arne {\O}stv{\ae}r

arXiv: 1704.04744 · 2017-04-18

## TL;DR

This paper identifies specific regions where the bigraded homotopy sheaves of the motivic sphere spectrum are zero, advancing understanding in stable motivic homotopy theory.

## Contribution

It systematically determines vanishing regions in the bigraded homotopy sheaves of the motivic sphere spectrum.

## Key findings

- Identified regions of vanishing in motivic homotopy sheaves
- Enhanced understanding of the structure of motivic spectra
- Provided new tools for computations in motivic homotopy theory

## Abstract

We determine systematic regions in which the bigraded homotopy sheaves of the motivic sphere spectrum vanish.

## Full text

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## Figures

2 figures with captions in the complete paper: https://tomesphere.com/paper/1704.04744/full.md

## References

35 references — full list in the complete paper: https://tomesphere.com/paper/1704.04744/full.md

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Source: https://tomesphere.com/paper/1704.04744