The n-step matrix factorization category is equivalent to the singularity category of the root stack √[n](X, D) and admits a semiorthogonal decomposition into n-1 copies of the two-step matrix factorization category.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
An Orlov theorem for matrix factorizations with multiple factors
The n-step matrix factorization category is equivalent to the singularity category of the root stack √[n](X, D) and admits a semiorthogonal decomposition into n-1 copies of the two-step matrix factorization category.