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Integral Local Invariant Cycles in Degree One

For a semistable one-parameter family of complex projective varieties with smooth nearby fiber $X_t$ and monodromy $T$, is the map $H^1(X, \mathbb{Z}) \to H^1(X_t, \mathbb{Z})^T$ surjective? True in degree one, although the integral statement fails in higher degree.

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Occurred: May 17, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: expert-verified. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Integral Local Invariant Cycles in Degree One · Invariant cycles

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Registry verification: expert verified · preprint · resolved

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VibeMathed
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QED (GPT-5.5)
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