From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Negative -theory and Hodge theory
Andrew Burke, Mihnea Popa, Wanchun Shen
The paper investigates negative K‑groups of complex algebraic varieties using mixed Hodge theory, incorporating tools such as higher singularities, Chow groups, and the Minimal Mod…
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…