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docs/src/AlgebraicGeometry/ToricVarieties Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -34,10 +34,11 @@ along which the blowup is constructed can be provided in different
3434formats. We discuss the methods in ascending generality.
3535
3636For our most specialized blowup method, we focus on the n-th cone in the
37- fan of the variety ` v ` in question. This cone need not be maximal. The
38- ensuing star subdivision will subdivide this cone about its "diagonal"
39- (the sum of all its rays). The result of this will always be a toric
40- variety:
37+ fan of the variety ` v ` in question. This cone need not be a maximal cone and
38+ cannot be the zero-dimensional cone. The
39+ ensuing star subdivision will subdivide this cone about its barycenter
40+ (the primitive generator of the sum of all its rays). The result of this
41+ will always be a toric variety:
4142``` @docs
4243blow_up(v::NormalToricVariety, n::Int; coordinate_name::String = "e")
4344```
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