Standard conjecture D for local stacky matrix factorizations

2022/04/21 by Bumsig Kim, Taejung Kim, Kim, Bumsig +1
Mathematics · #14A22 #14B05 #18E30 #32S25 #32S35 #32S55 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.2204.09849

openalex publication_date 2022/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the non-commutative analogue of Grothendieck's standard conjecture D for the differential graded category of G-equivariant matrix factorizations associated to an isolated hypersurface singularity where G is a finite group.

Related

• Standard Conjecture D for matrix factorizations
• Classifying dg-categories of matrix factorizations
• Matrix factorization for quasi-homogeneous singularities
• Idempotent completions of equivariant matrix factorization categories
• Noncommutative matrix factorizations with an application to skew exterior algebras