The Nash conjecture for threefolds

Kollár, János

doi:10.1090/S1079-6762-98-00049-3

The Nash conjecture for threefolds

Author: János Kollár
Journal: Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 63-73
MSC (1991): Primary 14P25
DOI: https://doi.org/10.1090/S1079-6762-98-00049-3
Published electronically: September 15, 1998
MathSciNet review: 1641168
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Abstract: Nash conjectured in 1952 that every compact differentiable manifold can be realized as the set of real points of a real algebraic variety which is birational to projective space. This paper announces the negative solution of this conjecture in dimension 3. The proof shows that in fact very few 3-manifolds can be realized this way.

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