Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2
- 1 December 1981
- journal article
- research article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Commentarii Mathematici Helvetici
- Vol. 56 (1) , 39-58
- https://doi.org/10.1007/bf02566197
Abstract
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 cohomologyCP 2's and for rational and integral homologyCP 2's are given in terms of the typesA k,D k, orE k of singularities allowed by the construction.Keywords
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