Geodesic
Real algebraic threefolds II. Minimal model program
Kollár, János1
1Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Journal of the American Mathematical Society, Tome 12 (1999) no. 1, pp. 33-83

Voir la notice de l'article provenant de la source American Mathematical Society

This is the second of a series of papers studying real algebraic threefolds using the minimal model program. The main result is the following. Let $X$ be a smooth projective real algebraic 3-fold. Assume that the set of real points is an orientable 3-manifold (this assumption can be weakened considerably). Then there is a fairly simple description of how the topology of real points changes under the minimal model program. This leads to the solution of the Nash conjecture concerning the topology of real projective varieties which are birational to projective 3-space. Another application is a factorization theorem for birational maps.
DOI : 10.1090/S0894-0347-99-00286-6

Kollár, János  1

1 Department of Mathematics, University of Utah, Salt Lake City, Utah 84112 
Kollár, János. Real algebraic threefolds II. Minimal model program. Journal of the American Mathematical Society, Tome 12 (1999) no. 1, pp. 33-83. doi: 10.1090/S0894-0347-99-00286-6
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