What is the classification of 1-dimensional commutative formal group laws over $mathbbZ$ up to isomorphism?

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All 1-dimensional commutative formal group laws over a field $k$ of characteristic $geq$ 0 are classified up to isomorphism by the characteristic of $k$ and their height. This is result of Michel Lazard.



Additionally, all 1-d commutative formal group laws over $mathbbQ$ are isomorphic.



What is known about the classification of 1-dimensional commutative formal group laws over rings of characteristic 0?




abstract-algebra algebraic-geometry algebraic-topology formal-groups




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  • Googling turned up this: math.mit.edu/research/undergraduate/spur/documents/…
    – Qiaochu Yuan
    Jul 23 at 7:21














up vote
5
down vote

favorite












All 1-dimensional commutative formal group laws over a field $k$ of characteristic $geq$ 0 are classified up to isomorphism by the characteristic of $k$ and their height. This is result of Michel Lazard.



Additionally, all 1-d commutative formal group laws over $mathbbQ$ are isomorphic.



What is known about the classification of 1-dimensional commutative formal group laws over rings of characteristic 0?




abstract-algebra algebraic-geometry algebraic-topology formal-groups




share|cite|improve this question



















  • Googling turned up this: math.mit.edu/research/undergraduate/spur/documents/…
    – Qiaochu Yuan
    Jul 23 at 7:21












up vote
5
down vote

favorite









up vote
5
down vote

favorite











All 1-dimensional commutative formal group laws over a field $k$ of characteristic $geq$ 0 are classified up to isomorphism by the characteristic of $k$ and their height. This is result of Michel Lazard.



Additionally, all 1-d commutative formal group laws over $mathbbQ$ are isomorphic.



What is known about the classification of 1-dimensional commutative formal group laws over rings of characteristic 0?




abstract-algebra algebraic-geometry algebraic-topology formal-groups




share|cite|improve this question











All 1-dimensional commutative formal group laws over a field $k$ of characteristic $geq$ 0 are classified up to isomorphism by the characteristic of $k$ and their height. This is result of Michel Lazard.



Additionally, all 1-d commutative formal group laws over $mathbbQ$ are isomorphic.



What is known about the classification of 1-dimensional commutative formal group laws over rings of characteristic 0?





abstract-algebra algebraic-geometry algebraic-topology formal-groups





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 23 at 2:45









Catherine Ray

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  • Googling turned up this: math.mit.edu/research/undergraduate/spur/documents/…
    – Qiaochu Yuan
    Jul 23 at 7:21
















  • Googling turned up this: math.mit.edu/research/undergraduate/spur/documents/…
    – Qiaochu Yuan
    Jul 23 at 7:21















Googling turned up this: math.mit.edu/research/undergraduate/spur/documents/…
– Qiaochu Yuan
Jul 23 at 7:21




Googling turned up this: math.mit.edu/research/undergraduate/spur/documents/…
– Qiaochu Yuan
Jul 23 at 7:21















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