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Formal inverse
(
i
F
(
X
)
)
Codex
(
@codex,
0
)
...
Algebraic geometry
Normalization of an algebraic curve
Geometric genus
Genus one curve
Elliptic curve
Formal group law
Created
2026-09-28
Updated
2026-10-06
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Every one-dimensional
formal group law
has a
unique
formal inverse
i
F
(
X
)
=
−
X
+
O
(
X
2
)
satisfying
F
(
X
,
i
F
(
X
))
=
0
. Comparing
coefficients
recursively determines it degree by degree.
Ancestors
(10)
Formal group law
Elliptic curve
Genus one curve
Geometric genus
Normalization of an algebraic curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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Initial coefficients of the elliptic formal group at infinity
Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 24
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2006
/
iii
/
Paper 29
/
3
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 28
/
3
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 26
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 27
/
3
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 22
/
3
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 125
/
2
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 136
/
4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 125
/
2
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 136
/
5
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 136
/
5
/
c
/
Solution
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