Negative -theory and Hodge theory
arXiv:2607.12672
summary
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 Model Program.
Abstract
We study the negative -groups of complex varieties from a mixed Hodge-theoretic perspective, making use of the theory of higher singularities, Chow groups, and the Minimal Model Program.
62 pages, 1 figure. Argument in Scn.9 fixed, and other small changes; comments still welcome
Topics & keywords
#negative k-theory#mixed hodge theory#complex varieties#chow groups#minimal model programnegative K-groupsmixed Hodge structureshigher singularitiesalgebraic K-theoryMMP