The topology of two-dimensional real algebraic varieties
Copyright policy )The topology of two-dimensional real algebraic varieties
E noto che ogni spazio analitico reale e localmente omeomorfo al cono su un poliedro con caratteristica di Eulero-Poincare pari. Si dimostra che questa condizione e anche sufficiente affinche un poliedro (compatto) di dimensione due P sia omeomorfo ad una varieta algebrica reale affine P. Segue inoltre dalla costruzione che la P ottenuta ha, in un certo senso, un insieme di singolarita algebriche minimale, compatibilmente con la topologia di P.
Topological properties in algebraic geometry, Compact complex surfaces, two-dimensional space, Stratifications in topological manifolds, Real algebraic and real-analytic geometry, good topological resolution of singularities, characterization of real algebraic affine variety, even Euler characteristic
Topological properties in algebraic geometry, Compact complex surfaces, two-dimensional space, Stratifications in topological manifolds, Real algebraic and real-analytic geometry, good topological resolution of singularities, characterization of real algebraic affine variety, even Euler characteristic
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