The nash conjecture for threefolds

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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.

Original languageEnglish (US)
Pages (from-to)63-73
Number of pages11
JournalElectronic Research Announcements of the American Mathematical Society
Volume4
Issue number10
DOIs
StatePublished - Sep 15 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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