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arXiv · 1304.0239

Examples of topological spaces with arbitrary cohomology jump loci

Botong Wang
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Abstract

Given any subvariety of a complex torus defined over $\mathbb{Z}$ and any positive integer $k$, we construct a finite CW complex $X$ such that the $k$-th cohomology jump locus of $X$ is equal to the chosen subvariety, and the $i$-th cohomology jump loci of $X$ are trivial for $i<k$.

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Botong Wang. 2013-03-31. Examples of topological spaces with arbitrary cohomology jump loci. https://arxiv.org/abs/1304.0239

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