# degree(ProjectiveVariety)

## Synopsis

• Function: degree
• Usage:
degree X
• Inputs:
• Outputs:

## Description

 i1 : S = ZZ/32003[x,y,z]; i2 : I = ideal(x^4-4*x*y*z^2-z^4-y^4); o2 : Ideal of S i3 : R = S/I; i4 : X = variety I o4 = X o4 : ProjectiveVariety i5 : degree X o5 = 4
The degree of a projective variety X = V(I) = Proj R is the degree of the homogeneous coordinate ring R = S/I of X.
 i6 : degree X == degree I o6 = true i7 : degree X == degree R o7 = true