2 papers
math.AG2025
Ranks of matrix factorizations and sheaf cohomology
Michael K. Brown, Mark E. Walker
Buchweitz-Greuel-Schreyer conjectured in 1987 a lower bound on the ranks of matrix factorizations over certain local hypersurface rings. We study a graded version of this conjectur…
math.AG2025
The Hodge structure on the singularity category of a complex hypersurface
Michael K. Brown, Mark E. Walker
Given a complex affine hypersurface with isolated singularity determined by a homogeneous polynomial, we identify the noncommutative Hodge structure on the periodic cyclic homology…