GAP (ToricVarieties) - Chapter 9: Blowups of toric varieties

Goto Chapter: Top 1 2 3 4 5 6 7 8 9 Ind
[Top of Book] [Contents] [Previous Chapter] [Next Chapter]

[MathJax off]

9 Blowups of toric varieties
9.1 Constructors
9.1-1 BlowupOfToricVariety
9.1-2 SequenceOfBlowupsOfToricVariety

### 9 Blowups of toric varieties

#### 9.1 Constructors

##### 9.1-1 BlowupOfToricVariety

`‣ BlowupOfToricVariety`( a, toric, variety, a, list, and, a, string ) | ( operation )

Returns: a variety

The arguments are a toric variety vari, a string s which specifies the locus to be blown up and a string which specifies how to name the new blowup coordinate. Based on this, this method creates the blowup of a toric variety. This process rests on a star sub-division of the fan (c.f. 3.3.17 in Cox-Little-Schenk)

##### 9.1-2 SequenceOfBlowupsOfToricVariety

`‣ SequenceOfBlowupsOfToricVariety`( a, toric, variety, and, a, list ) | ( operation )

Returns: a variety

The arguments are a toric variety vari and a list of lists. Each entry of this list must contain the information for one blowup, i.e. be made up of the two lists used as input for the method BlowupOfToricVariety. This method then performs this sequence of blowups and returns the corresponding toric variety.

[Top of Book] [Contents] [Previous Chapter] [Next Chapter]
Goto Chapter: Top 1 2 3 4 5 6 7 8 9 Ind

generated by GAPDoc2HTML