On the decomposition of the De Rham complex on formal schemes
| Autor: | Marta Rodríguez, Leovigildo Alonso Tarrío, Ana Jeremías López |
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| Rok vydání: | 2019 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1904.03156 |
| Popis: | We show that, for a pseudo-proper smooth noetherian formal scheme $\mathfrak{X}$ over a positive characteristic $p$ field, its truncated De Rham complex up to the characteristic $p$ is decomposable. Moreover, if the dimension of $\mathfrak{X}$ is exactly $p$, then the full De Rham complex is decomposable. Along the way we establish the Cartier isomorphism associated to a smooth morphism of positive characteristic noetherian formal schemes. Comment: 28 pages, v2: improved section 6, v3: minor changes |
| Databáze: | OpenAIRE |
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