Motivic sheaf

In mathematics, a motivic sheaf is a motivic-cohomology counterpart of an l-adic sheaf. It was first introduced by Morel and Voevodsky and was later developed by J. Ayoub, Deniz-Charles Cisinski, F. Déglise, F. Morel, and others. For Nori motives, the first construction is due to D. Arapura. In practice, a motivic sheaf is sometimes used instead of an l-adic sheaf because the former’s cycle-theoretic nature may be important. In the language of Ayoub,

References

Further reading

• Adeel Khan, Motivic sheaves on algebraic stacks
• https://mathoverflow.net/questions/422870/what-is-motivic-sheaf-intuitively