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The Topology of Algebraic Varieties [PDF]

, 1994
A variety over \(\mathbb{C}\) has a Euclidean topology defining an underlying topological space which, for a nonsingular variety, is a real differentiable manifold, that is orientable and of twice the complex dimension. The variety inherits the usual topological invariants such as fundamental group and cohomology.
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Extensions to Algebraic Varieties

1957
We shall now indicate the way in which many of the properties of curves, discussed in the preceding Part, can be extended to varieties of higher dimension. This is a vast field of research, which is by no means completely exploited, since several of the properties with which we shall deal could be extended further.
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An algebra variety

Siberian Mathematical Journal, 1974
V. V. Nikolenko, I. V. Viten'ko
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Algebraic Varieties

1986
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Algebraic varieties

1985
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ALGEBRAIC TOPOLOGY OF ALGEBRAIC VARIETIES

Russian Mathematical Surveys, 1965
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