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Triplets : 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
Betti1
-- Betti numbers of first pure complex
Betti1(Triplet)
-- Betti numbers of first pure complex
Betti3
-- Betti numbers of the three pure complexes
Betti3(Triplet)
-- Betti numbers of the three pure complexes
BettiDiagram1
-- Betti diagram of first pure complex
BettiDiagram1(Triplet)
-- Betti diagram of first pure complex
BettiDiagram3
-- Betti diagrams of the three pure complexes
BettiDiagram3(Triplet)
-- Betti diagrams of the three pure complexes
binPol
-- product of two binomial polynomials
binPol(RingElement,ZZ,ZZ)
-- product of two binomial polynomials
chiPol
-- Hilbert polynomial of cohomology sheaves
chiPol(RingElement,ZZ,List,List)
-- Hilbert polynomial of cohomology sheaves
cohMatrix
-- cohomology table in matrix form
cohMatrix(ZZ,ZZ,Triplet)
-- cohomology table in matrix form
cohTable
-- cohomology table
cohTable(ZZ,ZZ,Triplet)
-- cohomology table
conj
-- conjugate of degree sequence
conj(List,ZZ)
-- conjugate of degree sequence
dualHomTriplet
-- the dual homology triplet
dualHomTriplet(Triplet)
-- the dual homology triplet
hilbCoeff
-- coefficients of Hilbert polynomial
hilbCoeff(Triplet)
-- coefficients of Hilbert polynomial
hilbPol
-- Hilbert polynomial
hilbPol(RingElement,ZZ,List,List)
-- Hilbert polynomial
isDegreeTriplet
-- checks if it is a degree triplet
isDegreeTriplet(Triplet)
-- checks if it is a degree triplet
isHomologyTriplet
-- checks if it is a homology triplet
isHomologyTriplet(Triplet)
-- checks if it is a homology triplet
rotBack
-- backward cyclic permutation
rotBack(Triplet)
-- backward cyclic permutation
rotForw
-- forward cyclic permutation
rotForw(Triplet)
-- forward cyclic permutation
strands
-- strand span of degree sequence
strands(List)
-- strand span of degree sequence
strandsL
-- strand span as a subset of [0,n]
strandsL(ZZ,List)
-- strand span as a subset of [0,n]
toDegree
-- from homology triplet to degree triplet
toDegree(Triplet)
-- from homology triplet to degree triplet
toHomology
-- from degree triplet to homology triplet
toHomology(Triplet)
-- from degree triplet to homology triplet
Triplet
-- triplet
triplet
-- make a triplet
triplet(List,List,List)
-- make a triplet
Triplets
-- Betti diagrams and hypercohomology tables associated to triplets of degree sequences
type
-- number of variables
type(Triplet)
-- number of variables