curveOnAlexanderSurface -- curves on the Alexander surface

Synopsis

• Usage:

  curveOnAlexanderSurface(S, g, d)

• Inputs:

  • S, a ring, the coordinate ring of P⁴
  • g, an integer
  • d, an integer
• Outputs:

  • a sequence, a pair (I,Y) where I is the ideal of a curve of genus g and degree d and Y is an Alexander surface which contains it

Description

See also

• alexanderSurface -- construct an Alexander surface
• linSysAlexander -- linear systems giving rise to curves of genus >= 16 on the Alexander surface
• properTransformAlexander -- proper transform on the Alexander surface