The Nash conjecture for threefolds-Reference-Cited by-同舟云学术

The Nash conjecture for threefolds

Published:1998-09-15 Issue:10 Volume:4 Page:63-73
ISSN:1079-6762
Container-title:Electronic Research Announcements of the American Mathematical Society
language:en
Short-container-title:Electron. Res. Announc. Amer. Math. Soc.

Author:

Kollár János

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.

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

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