Negative $K$-theory and Hodge theory

Andrew Burke; Mihnea Popa; Wanchun Shen

Negative $K$-theory and Hodge theory

Algebraic Geometry 2026-07-14 v1 K-Theory and Homology

Authors: Andrew Burke , Mihnea Popa , Wanchun Shen

Abstract

We study the negative $K$ -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.

Keywords

negative K-theory Hodge theory mixed Hodge structures Chow groups minimal model program

Cite

@article{arxiv.2607.12672,
  title  = {Negative $K$-theory and Hodge theory},
  author = {Andrew Burke and Mihnea Popa and Wanchun Shen},
  journal= {arXiv preprint arXiv:2607.12672},
  year   = {2026}
}

Comments

61 pages, 1 figure; comments welcome