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arXiv · 2505.01086

Cellularity of Chromatic Synthetic Spectra

Shaul Barkan·Sven van Nigtevecht
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Abstract

We show that the $\infty$-category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the $\infty$-category of modules over a filtered ring spectrum. The latter we show using a general method for constructing filtered deformations from t-structures on symmetric monoidal stable $\infty$-categories.

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Shaul Barkan, Sven van Nigtevecht. 2025-05-02. Cellularity of Chromatic Synthetic Spectra. https://arxiv.org/abs/2505.01086

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