top
|
index
|
Macaulay2 website
FormalGroupLaws : Table of Contents
FormalGroupLaws
-- commutative formal group laws
- FormalGroupPoint
-- inverse to a point of a formal group
- FormalSeries
-- minus a formal series
compositionInverse
-- inverse for composition
compositionInverse(FormalSeries)
-- inverse for composition of formal series
FGL
-- constructing a formal group law
FGL(FormalSeries)
-- constructing a formal group law
FormalGroupLaw
-- the class of all formal group laws
FormalGroupPoint
-- the class of all points of a formal group
formalGroupPoint
-- constructing a formal group point
FormalGroupPoint + FormalGroupPoint
-- sum of points of a formal group
FormalGroupPoint - FormalGroupPoint
-- difference of points of a formal group
formalGroupPoint(FormalGroupLaw,FormalSeries)
-- constructing a formal group point
FormalSeries
-- the class of all formal series
FormalSeries * FormalSeries
-- multiplication of formal series
FormalSeries + FormalSeries
-- addition of formal series
FormalSeries - FormalSeries
-- difference of formal series
FormalSeries == FormalSeries
-- equality of formal series
FormalSeries ^ ZZ
-- powers of formal series
inverse(FormalSeries)
-- multiplicative inverse of formal series
RingElement * FormalSeries
-- multiplication of a formal series by a constant
series
-- constructing a formal series
series(RingElement,ZZ)
-- constructing a formal series
substitute(FormalSeries,BasicList)
-- compose formal series
truncate(FormalSeries,ZZ)
-- truncate formal series
universalFGL
-- universal formal group law
universalFGL(ZZ,String,String,String)
-- universal formal group law in the Lazard ring
universalFGLQ
-- universal formal group law over rationals
universalFGLQ(ZZ,String,String,String)
-- universal formal group law in the Lazard ring tensor Q
valuation
-- smallest degree of monomials
ZZ * FormalGroupPoint
ZZ * FormalSeries
-- multiplication of a formal series by an integer