2021/07/19 by Fangzhou Jin, Enlin Yang, Jin, Fangzhou +1
Mathematics · #14F42 #14F45 #19E15 #32S30 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.2107.08603
openalex publication_date 2021/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend Ayoub's formalism of motivic nearby cycle functor to the ∞-categorical level, and prove some desired cohomological properties by relating the motivic nearby cycle functor to the notion of local acyclicity in motivic homotopy.