Families of algebraic varieties parametrized by topological spaces

Details Families of algebraic varieties parametrized by topological spaces Families of algebraic varieties parametrized by topological spaces

2010-01-14

arxiv.org/abs/1001.2371v2

Mathematics

Algebraic Geometry

23 pages

Scientific paper

We study families of algebraic varieties parametrized by topological spaces
and generalize some classical results such as Hilbert Nullstellensatz and
primary decomposition of commutative rings. We show that there is an
equivalence between the category of bivariant coherent sheaves and the category
of sheaves of finitely generated modules.

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