Picard Numbers of Quintic Surfaces

Picard number

3

w

p

range

opacity

recursion

0

1

2

3

style

color

texture

region

cube

sphere

An algebraic surface is defined as the set of points that satisfy a polynomial equation

f(x,y,z)=0

. The Picard number for an algebraic surface is a measure of the complexity of the curves on the surface. Algebraic surfaces with Picard numbers 1 to 45 are presented according to [1] and [2] containing parameters

w

and

p

.