ScalingStacks

Lemma 1 [03QI]

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Lemma 1

𝒳m​e​r{\cal X}_{mer} has maximal degeneration iff there exists a vector v∈Hn​(Xq,𝐂)v\in H^{n}(X_{q},{\bf C}) such that (Tβˆ’I​d)n+1​v=0(T-Id)^{n+1}v=0 and (Tβˆ’i​d)n​vβ‰ 0(T-id)^{n}v\neq 0 where TT is the monodromy operator.

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