Some Further Remarks on the Local Fundamental Group Scheme

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We prove that the Local Fundamental Group Scheme satisfies the Lefschetz -
Bott theorems in characteristic p. The proofs are standard applications of the
Enriques-Severi -Zariski-Serre vanishing theorems and known facts about the
p-curvature

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