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arXiv · 1306.2210

The action on cohomology by compositions of rational maps

Roland K. W. Roeder
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Abstract

We use intuitive results from algebraic topology and intersection theory to clarify the pullback action on cohomology by compositions of rational maps. We use these techniques to prove a simple sufficient criterion for functoriality of a composition of two rational maps on all degrees of cohomology and we then reprove the criteria of Diller-Favre, Bedford-Kim, and Dinh-Sibony. We conclude with a cautionary example.

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Roland K. W. Roeder. 2014-02-27. The action on cohomology by compositions of rational maps. https://arxiv.org/abs/1306.2210

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