Macaulay2
»
Documentation
Packages
»
RationalPoints2
::
Index
next | previous | forward | backward | up |
index
|
toc
RationalPoints2 : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Amount
-- Find the rational points on a variety
baseChange
-- Perform base change for field extensions
baseChange(...,PrimitiveElement=>...)
-- Perform base change for field extensions
baseChange(InexactFieldFamily,Number)
-- Perform base change for field extensions
baseChange(InexactFieldFamily,RingElement)
-- Perform base change for field extensions
baseChange(Number,Ideal)
-- Perform base change for field extensions
baseChange(Number,Number)
-- Perform base change for field extensions
baseChange(Number,RingElement)
-- Perform base change for field extensions
baseChange(Ring,Ideal)
-- Perform base change for field extensions
baseChange(Ring,Number)
-- Perform base change for field extensions
baseChange(Ring,RingElement)
-- Perform base change for field extensions
Bound
-- Find the rational points on a variety
charpoly
-- Characteristic and minimal polynomials over the prime field
charpoly(...,Variable=>...)
-- Characteristic and minimal polynomials over the prime field
charpoly(Number)
-- Characteristic and minimal polynomials over the prime field
charpoly(RingElement)
-- Characteristic and minimal polynomials over the prime field
discriminant(Ring)
-- Compute a basis for the integers of a number field
extField
-- Define field extensions
extField(...,Variable=>...)
-- Define field extensions
extField(List)
-- Define field extensions
extField(Ring,List)
-- Define field extensions
extField(Ring,RingElement)
-- Define field extensions
extField(RingElement)
-- Define field extensions
globalHeight
-- Multiplicative height function
globalHeight(List)
-- Multiplicative height function
hermiteNormalForm
-- Compute the Hermite normal form of a fractional ideal in a number field
hermiteNormalForm(List)
-- Compute the Hermite normal form of a fractional ideal in a number field
hermiteNormalForm(RingElement)
-- Compute the Hermite normal form of a fractional ideal in a number field
integers
-- Compute a basis for the integers of a number field
integers(Ring)
-- Compute a basis for the integers of a number field
KeepAll
-- Find the rational points on a variety
minpoly
-- Characteristic and minimal polynomials over the prime field
minpoly(...,Variable=>...)
-- Characteristic and minimal polynomials over the prime field
minpoly(Number)
-- Characteristic and minimal polynomials over the prime field
minpoly(Ring)
-- Characteristic and minimal polynomials over the prime field
minpoly(RingElement)
-- Characteristic and minimal polynomials over the prime field
PrimitiveElement
-- Perform base change for field extensions
Projective
-- Find the rational points on a variety
ProjectivePoint
-- Class of a projective point
ProjectivePoint == ProjectivePoint
-- Class of a projective point
rationalPoints
-- Find the rational points on a variety
rationalPoints(...,Amount=>...)
-- Find the rational points on a variety
rationalPoints(...,Bound=>...)
-- Find the rational points on a variety
rationalPoints(...,KeepAll=>...)
-- Find the rational points on a variety
rationalPoints(...,Projective=>...)
-- Find the rational points on a variety
rationalPoints(...,Split=>...)
-- Find the rational points on a variety
rationalPoints(...,Verbose=>...)
-- Find the rational points on a variety
rationalPoints(AffineVariety)
-- Find the rational points on a variety
rationalPoints(Ideal)
-- Find the rational points on a variety
rationalPoints(ProjectiveVariety)
-- Find the rational points on a variety
rationalPoints(Ring,AffineVariety)
-- Find the rational points on a variety
rationalPoints(Ring,Ideal)
-- Find the rational points on a variety
rationalPoints(Ring,ProjectiveVariety)
-- Find the rational points on a variety
RationalPoints2
-- Find the rational points on a variety
ring(ProjectivePoint)
-- Class of a projective point
setPariSize
-- Define field extensions
Split
-- Find the rational points on a variety
splittingField
-- Define field extensions
splittingField(...,Variable=>...)
-- Define field extensions
splittingField(Ring,RingElement)
-- Define field extensions
splittingField(RingElement)
-- Define field extensions
Verbose
-- Find the rational points on a variety
zeros
-- List the zeros of a polynomial
zeros(Ring,RingElement)
-- List the zeros of a polynomial
zeros(RingElement)
-- List the zeros of a polynomial