Projective Anabelian Curves in Positive Characteristic and Descent Theory for Log-étale Covers |
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Page 49
... specialisation map . 3.4.1 Logarithmic specialisation Generalising the classical Theorem X 3.8 [ SGA 1 ] about the specialisation of étale fun- damental groups , Vidal has proven in chapter I [ Vi02 ] the following theorem about log ...
... specialisation map . 3.4.1 Logarithmic specialisation Generalising the classical Theorem X 3.8 [ SGA 1 ] about the specialisation of étale fun- damental groups , Vidal has proven in chapter I [ Vi02 ] the following theorem about log ...
Page 83
... map ƒ of ( 1 ) is compatible with ɛ : s → and π1o ( X1 , M1 ) = π { ( X¿ , D ; ) by Example ( 4 ) at the end of ... specialisation We discuss the logarithmic specialisation map splog of Theorem 3.4.1 from a group- theoretical point of ...
... map ƒ of ( 1 ) is compatible with ɛ : s → and π1o ( X1 , M1 ) = π { ( X¿ , D ; ) by Example ( 4 ) at the end of ... specialisation We discuss the logarithmic specialisation map splog of Theorem 3.4.1 from a group- theoretical point of ...
Page 84
... Specialisation . For the convenience of the reader , we restate Tamagawa - Oda's the- orem on control of the specialisation map ( proper case ) . Theorem 6.3.1 ( Tamagawa - Oda , control of sp ) . Let X / S , X ' / S be proper , smooth ...
... Specialisation . For the convenience of the reader , we restate Tamagawa - Oda's the- orem on control of the specialisation map ( proper case ) . Theorem 6.3.1 ( Tamagawa - Oda , control of sp ) . Let X / S , X ' / S be proper , smooth ...
Common terms and phrases
2-complex affine algebraically closed field Anabelian Geometry automorphism base change base extension bijection canonical center free closed point cohomology Corollary curve of genus defined denote descent theory diagram discrete valuation ring double points equivalent étale cohomology F-cohomologically rigid finite fields Frobenius module fs monoids fs-log schemes fs-log structure G-torsors Galois category Galois group genus g geometric point geometrically connected varieties Grothendieck group-theoretical Hence henselian homeomorphism hyperbolic curves induced injective irreducible components isomorphism isotrivial Kampen Theorem két cover Kummer Kurven Lemma Let X/S level structure log blow-up log scheme log structure log-étale log-radicial log-smooth Math monoids morphism natural map noetherian normal subgroup prime number pro-finite group pro-l Proposition pullback quasi-compact quotient reduction resp Revlog semistable curve sheaf sheaves short exact sequence space Spec(Z[P special fibre specialisation map surjective topological torsors universal homeomorphism vanishes yields