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53 Fundamental Groups of Schemes
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Section 53.1: Introduction
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Section 53.2: Schemes étale over a point
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Section 53.3: Galois categories
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Section 53.4: Functors and homomorphisms
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Section 53.5: Finite étale morphisms
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Section 53.6: Fundamental groups
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Section 53.7: Galois covers of connected schemes
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Section 53.8: Topological invariance of the fundamental group
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Section 53.9: Finite étale covers of proper schemes
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Section 53.10: Local connectedness
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Section 53.11: Fundamental groups of normal schemes
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Section 53.12: Group actions and integral closure
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Section 53.13: Ramification theory
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Section 53.14: Geometric and arithmetic fundamental groups
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Section 53.15: Homotopy exact sequence
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Section 53.16: Specialization maps
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Section 53.17: Restriction to a closed subscheme
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Section 53.18: Pushouts and fundamental groups
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Section 53.19: Finite étale covers of punctured spectra, I
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Section 53.20: Purity in local case, I
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Section 53.21: Purity of branch locus
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Section 53.22: Finite étale covers of punctured spectra, II
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Section 53.23: Finite étale covers of punctured spectra, III
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Section 53.24: Finite étale covers of punctured spectra, IV
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Section 53.25: Purity in local case, II
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Section 53.26: Purity in local case, III
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Section 53.27: Lefschetz for the fundamental group
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Section 53.28: Purity of ramification locus
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Section 53.29: Affineness of complement of ramification locus
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Section 53.30: Specialization maps in the smooth proper case
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Section 53.31: Tame ramification