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arxiv: 1006.5306 · v1 · submitted 2010-06-28 · 🧮 math.AG

Birational invariance of the S-fundamental group scheme

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keywords birationalfundamentalgroupalgebraicallycharacteristicclosedfieldinvariance
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Let $X$ and $Y$ be nonsingular projective varieties over an algebraically closed field $k$ of positive characteristic. If $X$ and $Y$ are birational, we show their $S$-fundamental group schemes are isomorphic.

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