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arXiv:1712.05564 [math.AG]AbstractReferencesReviewsResources

The rationality problem for conic bundles

Yuri Prokhorov

Published 2017-12-15Version 1

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.

Comments: 80 pages, LaTeX, expository paper submitted to Uspeshi Mat. Nauk
Categories: math.AG
Subjects: 14E08, 14E07, 14E30, 14J30, 14J45
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