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PreprintCC BY-NC-ND 4.0arXiv

Motivic invariants of birational hyper-Kähler manifolds

  • Weimufei Wu
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Abstract

We prove that birational projective irreducible holomorphic symplectic manifolds have equivalent integral cohomological motives as commutative algebra objects in SH(ℂ). Consequently, their algebraic K-theory spectra are equivalent as E∞-algebras, and their integral graded K-theory rings are isomorphic.

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Cite

BibTeXRIS
BibTeX
@misc{wu2026motivic,
  title = {{Motivic invariants of birational hyper-Kähler manifolds}},
  author = {Weimufei Wu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.42045},
  eprint = {2610.42045},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.42045},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Motivic invariants of birational hyper-Kähler manifolds
AU  - Weimufei Wu
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.42045
UR  - https://arxiv.org/abs/2610.42045
AB  - We prove that birational projective irreducible holomorphic symplectic manifolds have equivalent integral cohomological motives as commutative algebra objects in SH(ℂ). Consequently, their algebraic K-theory spectra are equivalent as E_∞-algebras, and their integral graded K-theory rings are isomorphic.
ER  -