3 papers
math.AG2026
Degenerations of shifted symplectic moduli stacks of sheaves
Matthew Huynh
Let be a smooth, affine noetherian -scheme, and let be a smooth, quasi-projective family of Calabi--Yau -folds. We prove that the derived moduli stack of f…
math.AG2025
The Hitchin morphism for certain surfaces fibered over a curve
Matthew Huynh
The Chen-Ngô Conjecture predicts that the Hitchin morphism from the moduli stack of -Higgs bundles on a smooth projective variety surjects onto the space of spectral data. The c…
math.AG2024
Complex algebraic stacks and morphisms of intersection complexes
Matthew Huynh
We generalize a construction of Barthel-Brasselet-Fieseler-Gabber-Kaup in the setting of complex varieties to the setting of finite type, complex algebraic stacks. Given two such s…