GAP (GradedModules) - Chapter 2: Ring Maps

Goto Chapter: Top 1 2 3 4 5 Bib Ind
[Top of Book] [Contents] [Previous Chapter] [Next Chapter]

[MathJax on]

2 Ring Maps
2.1 Ring Maps: Attributes
2.1-1 KernelSubobject
2.2 Ring Maps: Operations and Functions
2.2-1 SegreMap
2.2-2 PlueckerMap
2.2-3 VeroneseMap

### 2 Ring Maps

#### 2.1 Ring Maps: Attributes

##### 2.1-1 KernelSubobject

`‣ KernelSubobject`( phi ) | ( method )

Returns: a homalg submodule

The kernel ideal of the ring map phi.

#### 2.2 Ring Maps: Operations and Functions

##### 2.2-1 SegreMap

`‣ SegreMap`( R, s ) | ( method )

Returns: a homalg ring map

The ring map corresponding to the Segre embedding of MultiProj(R) into the projective space according to P(W_1)× P(W_2) -> P(W_1⊗ W_2).

##### 2.2-2 PlueckerMap

`‣ PlueckerMap`( l, n, A, s ) | ( method )

Returns: a homalg ring map

The ring map corresponding to the Plücker embedding of the Grassmannian G_l(P^n(A))=G_l(P(W)) into the projective space P(⋀^l W), where W=V^* is the A-dual of the free module V=A^n+1 of rank n+1.

##### 2.2-3 VeroneseMap

`‣ VeroneseMap`( n, d, A, s ) | ( method )

Returns: a homalg ring map

The ring map corresponding to the Veronese embedding of the projective space P^n(A)=P(W) into the projective space P(S^d W), where W=V^* is the A-dual of the free module V=A^n+1 of rank n+1.

[Top of Book] [Contents] [Previous Chapter] [Next Chapter]
Goto Chapter: Top 1 2 3 4 5 Bib Ind

generated by GAPDoc2HTML