Finiteness of \'etale fundamental groups by reduction modulo p
classification
🧮 math.AG
keywords
finitenessfundamentalgroupscharacteristicetaleapplybirationalcomplex
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We introduce a spreading out technique to deduce finiteness results for \'etale fundamental groups of complex varieties by characteristic $p$ methods, and apply this to recover a finiteness result proven recently for local fundamental groups in characteristic $0$ using birational geometry.
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