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Search: MSC category 32Q55 ( Topological aspects of complex manifolds )

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1. CMB 2006 (vol 49 pp. 628)

Zeron, E. S.
 Approximation and the Topology of Rationally Convex Sets Considering a mapping \$g\$ holomorphic on a neighbourhood of a rationally convex set \$K\subset\cc^n\$, and range into the complex projective space \$\cc\pp^m\$, the main objective of this paper is to show that we can uniformly approximate \$g\$ on \$K\$ by rational mappings defined from \$\cc^n\$ into \$\cc\pp^m\$. We only need to ask that the second \v{C}ech cohomology group \$\check{H}^2(K,\zz)\$ vanishes. Keywords:Rationally convex, cohomology, homotopyCategories:32E30, 32Q55

2. CMB 2005 (vol 48 pp. 473)

Zeron, E. S.
 Logarithms and the Topology of the Complement of a Hypersurface This paper is devoted to analysing the relation between the logarithm of a non-constant holomorphic polynomial \$Q(z)\$ and the topology of the complement of the hypersurface defined by \$Q(z)=0\$. Keywords:Logarithm, homology groups and periodsCategories:32Q55, 14F45