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Abstract: Real algebraic varieties seem to be quite distant from combinatorial geometry. We intend to demonstrate how to construct real algebraic varieties in a combinatorial fashion: one can patchwork them from pieces which essentially are hyperplanes. This procedure, called the combinatorial patchworking, is a particular case of the Viro method of construction of real algebraic varieties with prescribed topology.
The combinatorial patchworking has important applications. We discuss one of them: a construction of maximal hypersurfaces and, more generally, maximal complete intersections in projective spaces. |
Geometry-Algebra-Singularities-Combinatorics home page:
http://www.math.neu.edu/~suciu/GASC.html
| Web page: Alexandru I. Suciu | Created: Feb. 12, 1999 Updated: Feb. 15, 1999 |
Comments to: alexsuciu@neu.edu
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URL: http://www.math.neu.edu/~suciu/gas/itenberg.html |