Work

Motivic invariants of birational hyper-Kähler manifolds

Year: 2026
Type: preprint
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.
Author: Wu, Weimufei
Language: English
Open Access status: green
OpenAlex ID: W7225101467
Cites: 6
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Related to: 10