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· arXiv 2203.14787

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fields

math.AG 1 math.KT 1

years

2025 1 2023 1

verdicts

UNVERDICTED 2

representative citing papers

The Lichtenbaum-Quillen dimension of complex varieties

math.AG · 2023-12-12 · unverdicted · novelty 7.0

Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.

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Showing 2 of 2 citing papers.

  • Algebraic K-theory of finite algebras over higher local fields math.KT · 2025-03-26 · unverdicted · none · ref 3

    Segal conjecture fails for truncated polynomial algebras over higher chromatic local fields, causing Lichtenbaum-Quillen property to fail while weak redshift conjecture holds.

  • The Lichtenbaum-Quillen dimension of complex varieties math.AG · 2023-12-12 · unverdicted · none · ref 23

    Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.