The Lüroth problem asks whether every unirational variety is rational. After a historical survey, we describe the methods developed in the 1970s to get a negative answer, and give some easy examples. Then we discuss a new method introduced last year by C. Voisin.
CITATION STYLE
Beauville, A. (2016). The Lüroth problem. Lecture Notes in Mathematics, 2172, 1–27. https://doi.org/10.1007/978-3-319-46209-7_1
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