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· 2007 · DOI 10.4310/hha.2007.v9.n2.a5

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Dimension filtrations in birational localisation

math.AG · 2026-06-27 · unverdicted · novelty 7.0

Proves L_n to S_b^{-1}Sm(F) is fully faithful exactly for n=0, with infinite fibers in L_n to L_N transitions for n>=1 and a dimension threshold making X x A^r -> X invertible in L_n only if dim X + r <= n-1 when <=n.

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  • Dimension filtrations in birational localisation math.AG · 2026-06-27 · unverdicted · none · ref 3

    Proves L_n to S_b^{-1}Sm(F) is fully faithful exactly for n=0, with infinite fibers in L_n to L_N transitions for n>=1 and a dimension threshold making X x A^r -> X invertible in L_n only if dim X + r <= n-1 when <=n.