Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 2239

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: -407898365 *}

i1 : X = Proj(QQ[x,y,z])

o1 = X

o1 : ProjectiveVariety

i2 : I = ideal(y^2*z-x*(x-z)*(x-11*z))

              3      2     2         2
o2 = ideal(- x  + 12x z + y z - 11x*z )

o2 : Ideal of QQ[x, y, z]

i3 : N = (sheaf module I)/(sheaf module I^2)

o3 = subquotient (| -x3+12x2z+y2z-11xz2 |, | x6-24x5z-2x3y2z+166x4z2+24x2y2z2+y4z2-264x3z3-22xy2z3+121x2z4 |)

                                            1
o3 : coherent sheaf on X, subquotient of OO
                                           X

i4 : G = OO_X^1/I

o4 = cokernel | -x3+12x2z+y2z-11xz2 |

                                         1
o4 : coherent sheaf on X, quotient of OO
                                        X

i5 : HH^1(G)

       1
o5 = QQ

o5 : QQ-module, free

i6 : HH^1(N)

       9
o6 = QQ

o6 : QQ-module, free

i7 :