3 papers
math.AG2025
Upper bound on the multiplicity of rational and Du Bois singularities
Sung Gi Park
This paper resolves a question of Huneke and Watanabe by proving a sharp upper bound for the multiplicity of Du Bois singularities: at a point of a -dimensional variety with Du…
math.AG2025
Hodge symmetry and Lefschetz theorems for singular varieties
Sung Gi Park, Mihnea Popa
We prove new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities, from a numbe…
math.AG2025
Q-factoriality and Hodge-Du Bois theory
Sung Gi Park, Mihnea Popa
We prove Hodge-theoretic formulas for the -factoriality defect of a normal projective variety, and for the local analytic -factoriality defect of an analyti…