Macaulay2
»
Documentation
Packages
»
BGG
::
Index
next | previous | forward | backward | up |
index
|
toc
BGG : 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
beilinson
-- Vector bundle map associated to the Beilinson monad
beilinson(Matrix,PolynomialRing)
-- Vector bundle map associated to the Beilinson monad
BGG
-- Bernstein-Gel'fand-Gel'fand correspondence
bgg
-- the ith differential of the complex R(M)
bgg(ZZ,Module,PolynomialRing)
-- the ith differential of the complex R(M)
cohomologyTable
-- dimensions of cohomology groups
cohomologyTable(CoherentSheaf,ZZ,ZZ)
-- dimensions of cohomology groups
cohomologyTable(Matrix,PolynomialRing,ZZ,ZZ)
-- dimensions of cohomology groups
directImageComplex
-- direct image complex
directImageComplex(...,Regularity=>...)
-- direct image complex
directImageComplex(ChainComplex)
-- direct image of a chain complex
directImageComplex(Matrix)
-- map of direct image complexes
directImageComplex(Module)
-- Complex representing the direct image
Exterior
-- dual exterior algebra cached in a polynomial ring
projectiveProduct
-- Makes a product of projective spaces and a system of parameters
projectiveProduct(Matrix,List)
-- Makes a product of projective spaces and a system of parameters
projectiveProduct(Ring,List)
-- Makes a product of projective spaces and a system of parameters
pureResolution
-- creates a pure resolution as an iterated direct image
pureResolution(Matrix,List)
-- creates a pure resolution as an iterated direct image
pureResolution(Ring,List)
-- creates a pure resolution as an iterated direct image
pureResolution(ZZ,List)
-- creates a pure resolution as an iterated direct image
pureResolution(ZZ,ZZ,List)
-- creates a pure resolution as an iterated direct image
Regularity
-- Option for directImageComplex
symExt
-- the first differential of the complex R(M)
symExt(Matrix,PolynomialRing)
-- the first differential of the complex R(M)
tateResolution
-- finite piece of the Tate resolution
tateResolution(Matrix,PolynomialRing,ZZ,ZZ)
-- finite piece of the Tate resolution
universalExtension
-- Universal extension of vector bundles on P^1
universalExtension(List,List)
-- Universal extension of vector bundles on P^1