The nash conjecture for threefolds

János Kollár

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

The nash conjecture for threefolds

János Kollár

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 language	English (US)
Pages (from-to)	63-73
Number of pages	11
Journal	Electronic Research Announcements in Mathematical Sciences
Volume	4
Issue number	10
DOIs	https://doi.org/10.1090/S1079-6762-98-00049-3
State	Published - Sep 15 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1090/S1079-6762-98-00049-3

Cite this

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title = "The nash conjecture for threefolds",

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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AB - 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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The nash conjecture for threefolds

Abstract

All Science Journal Classification (ASJC) codes

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