Finiteness of étale fundamental groups by reduction modulo $p$

Abstract

We introduce a spreading out technique to deduce finiteness results for étale 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.

arXiv comment15 pages, comments welcome

References in corpus (1)

• Finiteness of algebraic fundamental groups

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