randomEllipticNormalCurve -- compute a random elliptic normal curve in P^n

Synopsis

Usage:
I=randomEllipticNormalCurve
Inputs:
- R, a polynomial ring, homogeneous coordinate ring of Pⁿ
Outputs:
- I, an ideal, the ideal of an elliptic normal curve of degree n+1 in Pⁿ

Description

Starting from a random plane elliptic curve E in Weierstrass normal form we compute the elliptic normal curve reembedded by the linear system |O_E((n+1)o)|

i1 : kk=ZZ/10007;R=kk[x_0..x_6];

i3 : I=randomEllipticNormalCurve R;

o3 : Ideal of R

i4 : betti res I

            0  1  2  3  4 5
o4 = total: 1 14 35 35 14 1
         0: 1  .  .  .  . .
         1: . 14 35 35 14 .
         2: .  .  .  .  . 1

o4 : BettiTally

Ways to use `randomEllipticNormalCurve` :

randomEllipticNormalCurve(PolynomialRing)

randomEllipticNormalCurve -- compute a random elliptic normal curve in P^n

Synopsis

Description

Ways to use randomEllipticNormalCurve :

Ways to use `randomEllipticNormalCurve` :