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On the symmetric product of a rational surface

1969
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Proceedings of the American Mathematical Society
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In his work on rational equivalence [5] Severi often raised this question: if the points of a nonsingular algebraic variety V are all rationally equivalent to each other, is F a unirational variety? A variety V is said to be unirational (over some field k) if it is the image of a projective space £ under a generically surjective rational map s: £-*V which is defined over k, of finite degree, and separable. If F is unirational, it is easily seen that all its points are rationally equivalent;

doi:10.1090/s0002-9939-1969-0242829-1
fatcat:n5zbs2udovcnpegjjcjt3jz3tq