Choices of HKR isomorphisms
| Autor: | Robalo, Marco |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this short note we record the fact that the set of multiplicative HKR natural equivalences defined simultaneously for all derived schemes, functorialy splitting the HKR-filtration and rendering the circle action compatible with the de Rham differential, is, via Cartier duality, in a natural bijection with the set of filtered formal exponential maps $ \widehat{\mathbb{G}_a}\to \widehat{\mathbb{G}_m}$. In particular, when the base $k$ is a field of characteristic zero, the set of choices is $k^\ast$. Comment: 8 pages, Comments are welcome |
| Databáze: | arXiv |
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