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2026 1

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Bass numbers of graded components of local cohomology modules

math.AC · 2026-05-12 · unverdicted · novelty 3.0

The asymptotic behavior of the sequence of Bass numbers μ^i(p0, H^j_{R+}(M)_n) is studied for i=0 or 1 with j≤f, when R0 is regular with i near height(p0) and j=cd, and when M is relative Cohen-Macaulay w.r.t. R+.

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  • Bass numbers of graded components of local cohomology modules math.AC · 2026-05-12 · unverdicted · none · ref 13

    The asymptotic behavior of the sequence of Bass numbers μ^i(p0, H^j_{R+}(M)_n) is studied for i=0 or 1 with j≤f, when R0 is regular with i near height(p0) and j=cd, and when M is relative Cohen-Macaulay w.r.t. R+.