Computation of the classifying ring of formal modules
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866909575772372992 |
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| author | Salch, Andrew |
| author_facet | Salch, Andrew |
| contents | In this paper, we develop general machinery for computing the classifying ring $L^A$ of one-dimensional formal $A$-modules, for various commutative rings $A$. We then apply the machinery to obtain calculations of $L^A$ for various number rings and cyclic group rings $A$. This includes the first full calculations of the ring $L^A$ in cases in which it fails to be a polynomial algebra. We also derive consequences for the solvability of some lifting and extension problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1511_03784 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Computation of the classifying ring of formal modules Salch, Andrew Number Theory Algebraic Geometry Algebraic Topology 14L05, 11S31 In this paper, we develop general machinery for computing the classifying ring $L^A$ of one-dimensional formal $A$-modules, for various commutative rings $A$. We then apply the machinery to obtain calculations of $L^A$ for various number rings and cyclic group rings $A$. This includes the first full calculations of the ring $L^A$ in cases in which it fails to be a polynomial algebra. We also derive consequences for the solvability of some lifting and extension problems. |
| title | Computation of the classifying ring of formal modules |
| topic | Number Theory Algebraic Geometry Algebraic Topology 14L05, 11S31 |
| url | https://arxiv.org/abs/1511.03784 |