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arXiv · 1512.09285

On spectra and affine strict polynomial functors

Marcin Chałupnik
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Abstract

We compare derived categories of the category of strict polynomial functors over a finite field and the category of ordinary endofunctors on the category of vector spaces. We introduce two intermediate categories: the category of $\infty$--affine strict polynomial functors and the category of spectra of strict polynomial functors. They provide a conceptual framework for compuational theorems of Franjou--Friedlander--Scorichenko--Suslin and clarify the role of inverting Frobenius morphism in comparing rational and discrete cohomology.

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Marcin Chałupnik. 2015-12-31. On spectra and affine strict polynomial functors. https://arxiv.org/abs/1512.09285

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