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# resolving singularities -- information about find a smooth proper birational surjection

A variety $X$ has a resolution of singularities if one can find a nonsingular variety $Y$ and a proper birational map from $Y$ to $X$. Every normal toric variety has a resolution of singularities given by another normal toric variety.

The following methods related to resolutions of singularities are currently available in this package.

## Methods for resolving singularities

- makeSmooth(NormalToricVariety) -- make a birational smooth toric variety
- makeSimplicial(NormalToricVariety) -- make a birational simplicial toric variety
- toricBlowup(List,NormalToricVariety) -- makes the toricBlowup of a normal toric variety along a torus orbit closure

## See also

- making normal toric varieties -- information about the basic constructors
- finding attributes and properties -- information about accessing features of a normal toric variety
- working with toric maps -- information about toric maps and the induced operations
- working with divisors -- information about toric divisors and their related groups
- working with sheaves -- information about coherent sheaves and total coordinate rings (a.k.a. Cox rings)

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/NormalToricVarieties/ToricVarietiesDocumentation.m2:2020:0.