The Nash Conjecture for Nonprojective Threefolds

Details The Nash Conjecture for Nonprojective Threefolds The Nash Conjecture for Nonprojective Threefolds

2000-09-11

arxiv.org/abs/math/0009108v1

Mathematics

Algebraic Geometry

20 pages, LaTeX

Scientific paper

We prove that for every compact, connected, differentiable 3--manifold $M$
there is a compact complex manifold $X$ which can be obtained from projective
3--space by a sequence of smooth, real blow ups and downs such that
$M$ is diffeomorphic to the set of real points of $X$. By earlier results,
such an $X$ can almost never be projective.

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