Every Noetherian F-finite scheme has a canonical dualizing complex ω^•_X such that ω^•_X ≅ f! ω^•_Y for any finite type map f between F-finite Noetherian schemes.
Derived -stratifications and the d -equivalence conjecture
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.AG 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Proves Dolbeault geometric Langlands equivalence for GL_r and SL_r/PGL_r over the locus of spectral curves with at worst type A singularities, extending beyond the elliptic locus via Whittaker normalization.
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
citing papers explorer
-
$F$-finite schemes have a dualizing complex
Every Noetherian F-finite scheme has a canonical dualizing complex ω^•_X such that ω^•_X ≅ f! ω^•_Y for any finite type map f between F-finite Noetherian schemes.
-
The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
Proves Dolbeault geometric Langlands equivalence for GL_r and SL_r/PGL_r over the locus of spectral curves with at worst type A singularities, extending beyond the elliptic locus via Whittaker normalization.
-
Semiorthogonal decompositions for stacks
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.