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arXiv · 2610.42045

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 $\mathrm{SH}(\mathbb C)$. Consequently, their algebraic K-theory spectra are equivalent as $E_\infty$-algebras, and their integral graded K-theory rings are isomorphic.

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Weimufei Wu. 2026-10-30. Motivic invariants of birational hyper-Kähler manifolds. https://arxiv.org/abs/2610.42045

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