Resolution of Singularities
A toric variety is nonsingular if its cones of maximal dimension are generated by a basis of the lattice. This implies that every toric variety has a resolution of singularities given by another toric variety, which can be constructed by subdividing the maximal cones into cones of nonsingular toric varieties.
Read more about this topic: Toric Variety
Famous quotes containing the word resolution:
“The passions do very often give birth to others of a nature most contrary to their own. Thus avarice sometimes brings forth prodigality, and prodigality avarice; a man’s resolution is very often the effect of levity, and his boldness that of cowardice and fear.”
—François, Duc De La Rochefoucauld (1613–1680)