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Let $V$ be a smooth projective complex variety defined over the rationalsreals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Assume that $V$ has a real point. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the rationals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Assume that $V$ has a real point. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the reals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Assume that $V$ has a real point. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the rationals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Assume that $V$ has a real point. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the rationals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the rationals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Assume that $V$ has a real point. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the rationals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety such that $G=\pi_1(V)$ is a non-abelian finite simple group. Can the map $G\to G$ induced by complex conjugation be trivial?
Let $V$ be a smooth projective complex variety defined over the rationals such that $G=\pi_1(V)$ is a non-abelian finite simple group. Can the map $G\to G$ induced by complex conjugation be trivial?
