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fixed missing documentation for normalCone
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mahrud committed Sep 11, 2024
1 parent 640c4af commit 3adf496
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4 changes: 2 additions & 2 deletions M2/Macaulay2/packages/MultiplicitySequence.m2
Original file line number Diff line number Diff line change
Expand Up @@ -373,15 +373,15 @@ doc ///
this function computes the bi-graded ring Gr_m(Gr_I(R)), presented as a
quotient of a bigraded polynomial ring with variables names u and v.
After being computed once, this ring is stored in the cache of I.
This function is based on the method normalCone.
This function is based on the method @TO associatedGradedRing@.
Example
R = QQ[x,y]
I = ideal"x2,xy"
A = grGr I
describe A
hilbertSeries A
SeeAlso
normalCone
associatedGradedRing
///

doc ///
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29 changes: 20 additions & 9 deletions M2/Macaulay2/packages/ReesAlgebra.m2
Original file line number Diff line number Diff line change
Expand Up @@ -1142,7 +1142,7 @@ doc ///

In the following example, we find the Rees Algebra of a monomial curve
singularity. We also demonstrate the use of @TO reesIdeal@, @TO symmetricKernel@,
@TO isLinearType@, @TO normalCone@, @TO associatedGradedRing@, @TO specialFiberIdeal@.
@TO isLinearType@, @TO (normalCone, Ideal, RingElement)@, @TO associatedGradedRing@, @TO specialFiberIdeal@.
Example
S = QQ[x_0..x_3]
i = monomialCurveIdeal(S,{3,7,8})
Expand Down Expand Up @@ -1257,8 +1257,8 @@ doc ///

doc ///
Key
(normalCone, Ideal, RingElement)
(normalCone, Ideal)
(normalCone, Ideal, RingElement)
associatedGradedRing
(associatedGradedRing, Ideal)
(associatedGradedRing, Ideal, RingElement)
Expand All @@ -1284,8 +1284,7 @@ doc ///
isomorphic to $S/IS$, which is how it is computed here.
SeeAlso
reesAlgebra
associatedGradedRing
normalCone
"MultiplicitySequence::grGr"
///


Expand Down Expand Up @@ -1928,6 +1927,8 @@ doc ///
[reesIdeal, Variable]
[reesAlgebra, Variable]
[associatedGradedRing, Variable]
[(normalCone, Ideal), Variable]
[(normalCone, Ideal, RingElement), Variable]
[specialFiberIdeal, Variable]
[specialFiber, Variable]
[distinguished, Variable]
Expand Down Expand Up @@ -1986,6 +1987,8 @@ doc ///
[isReduction, Strategy]
[multiplicity, Strategy]
[associatedGradedRing, Strategy]
[(normalCone, Ideal), Strategy]
[(normalCone, Ideal, RingElement), Strategy]
[specialFiberIdeal, Strategy]
[specialFiber, Strategy]
[analyticSpread, Strategy]
Expand All @@ -2011,7 +2014,7 @@ doc ///
reesAlgebra
isLinearType
isReduction
normalCone
associatedGradedRing
multiplicity
specialFiberIdeal
specialFiber
Expand All @@ -2030,6 +2033,8 @@ doc ///
[specialFiberIdeal, PairLimit]
[multiplicity, PairLimit]
[associatedGradedRing, PairLimit]
[(normalCone, Ideal), PairLimit]
[(normalCone, Ideal, RingElement), PairLimit]
[isReduction, PairLimit]
[isLinearType,PairLimit]
[reesAlgebra,PairLimit]
Expand All @@ -2048,7 +2053,7 @@ doc ///
reesAlgebra
isLinearType
isReduction
normalCone
associatedGradedRing
multiplicity
specialFiberIdeal
specialFiber
Expand All @@ -2067,6 +2072,8 @@ doc ///
[specialFiberIdeal, MinimalGenerators]
[multiplicity, MinimalGenerators]
[associatedGradedRing, MinimalGenerators]
[(normalCone, Ideal), MinimalGenerators]
[(normalCone, Ideal, RingElement), MinimalGenerators]
[isReduction, MinimalGenerators]
[isLinearType,MinimalGenerators]
[reesAlgebra,MinimalGenerators]
Expand All @@ -2086,7 +2093,7 @@ doc ///
reesAlgebra
isLinearType
isReduction
normalCone
associatedGradedRing
multiplicity
specialFiberIdeal
specialFiber
Expand All @@ -2104,6 +2111,8 @@ doc ///
[specialFiber, BasisElementLimit]
[multiplicity, BasisElementLimit]
[associatedGradedRing, BasisElementLimit]
[(normalCone, Ideal), BasisElementLimit]
[(normalCone, Ideal, RingElement), BasisElementLimit]
[isReduction, BasisElementLimit]
[isLinearType,BasisElementLimit]
[reesAlgebra,BasisElementLimit]
Expand All @@ -2123,7 +2132,7 @@ doc ///
reesAlgebra
isLinearType
isReduction
normalCone
associatedGradedRing
multiplicity
specialFiberIdeal
specialFiber
Expand All @@ -2141,6 +2150,8 @@ doc ///
[specialFiber, DegreeLimit]
[multiplicity, DegreeLimit]
[associatedGradedRing, DegreeLimit]
[(normalCone, Ideal), DegreeLimit]
[(normalCone, Ideal, RingElement), DegreeLimit]
[isReduction, DegreeLimit]
[isLinearType,DegreeLimit]
[reesAlgebra,DegreeLimit]
Expand All @@ -2162,7 +2173,7 @@ doc ///
reesAlgebra
isLinearType
isReduction
normalCone
associatedGradedRing
multiplicity
specialFiberIdeal
specialFiber
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