  
  [1X9 [33X[0;0YBlowups of toric varieties[133X[101X
  
  
  [1X9.1 [33X[0;0YConstructors[133X[101X
  
  [1X9.1-1 BlowupOfToricVariety[101X
  
  [33X[1;0Y[29X[2XBlowupOfToricVariety[102X( [3Xa[103X, [3Xtoric[103X, [3Xvariety[103X, [3Xa[103X, [3Xlist[103X, [3Xand[103X, [3Xa[103X, [3Xstring[103X ) [32X operation[133X
  [6XReturns:[106X  [33X[0;10Ya variety[133X
  
  [33X[0;0YThe 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)[133X
  
  [1X9.1-2 SequenceOfBlowupsOfToricVariety[101X
  
  [33X[1;0Y[29X[2XSequenceOfBlowupsOfToricVariety[102X( [3Xa[103X, [3Xtoric[103X, [3Xvariety[103X, [3Xand[103X, [3Xa[103X, [3Xlist[103X ) [32X operation[133X
  [6XReturns:[106X  [33X[0;10Ya variety[133X
  
  [33X[0;0YThe  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.[133X
  
