# working with toric maps -- information about toric maps and the induced operations

A toric map is a morphism $f : X \to Y$ between normal toric varieties that induces a morphism of algebraic groups $g : T_X \to T_Y$ such that $f$ is $T_X$-equivariant with respect to the $T_X$-action on $Y$ induced by $g$. Every toric map $f : X \to Y$ corresponds to a unique map $f_N : N_X \to N_Y$ between the underlying lattices.

Although the primary method for creating a toric map is map(NormalToricVariety,NormalToricVariety,Matrix), there are a few other constructors.

## Making toric maps

Having made a toric map, one can access its basic invariants or test for some elementary properties by using the following methods.

## Determining attributes and properties of toric maps

Several functorial aspects of normal toric varieties are also available.