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arxiv: 1712.05564 · v6 · pith:AYA4536Fnew · submitted 2017-12-15 · 🧮 math.AG

The rationality problem for conic bundles

classification 🧮 math.AG
keywords conicproblemsrationalityachievementsalgebraicbundlebundlescertain
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This expository paper is concerned with the rationality problems for three-dimensional algebraic varieties with a conic bundle structure. We discuss the main methods of this theory. We sketch the proofs of certain principal results, and present some recent achievements. Many open problems are also stated.

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