Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2
Copyright policy )Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2
Methods of graph theory are used to obtain rational projective surfaces with only rational double points as singularities and with rational cohomology rings isomorphic to that of the complex projective plane. Uniqueness results for such cohomologyCP2's and for rational and integral homologyCP2's are given in terms of the typesAk,Dk, orEk of singularities allowed by the construction.
- Wayne State College United States
- DigiZeitschriften Germany
- Wayne State University United States
ring of rational cohomologies, Compact complex surfaces, complex 2-space, complete rational surface, hypergraph, Complex singularities, Singularities in algebraic geometry, Hypergraphs, Article, Modifications; resolution of singularities (complex-analytic aspects), Planar graphs; geometric and topological aspects of graph theory, 510.mathematics, Dynkin diagram, rational double points, Rational and unirational varieties, Singularities of surfaces or higher-dimensional varieties
ring of rational cohomologies, Compact complex surfaces, complex 2-space, complete rational surface, hypergraph, Complex singularities, Singularities in algebraic geometry, Hypergraphs, Article, Modifications; resolution of singularities (complex-analytic aspects), Planar graphs; geometric and topological aspects of graph theory, 510.mathematics, Dynkin diagram, rational double points, Rational and unirational varieties, Singularities of surfaces or higher-dimensional varieties
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