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

2 Ring Maps
 2.1 Ring Maps: Attributes
 2.2 Ring Maps: Operations and Functions

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