Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 2564

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: 362800371 *}

i1 : R = ZZ/31991[a,b,c,d];

i2 : I = monomialCurveIdeal(R,{1,3,5})

             2         2     2    3    2
o2 = ideal (c  - b*d, b c - a d, b  - a c)

o2 : Ideal of R

i3 : projplane = Proj(R)

o3 = projplane

o3 : ProjectiveVariety

i4 : II = sheaf module I

o4 = image | c2-bd b2c-a2d b3-a2c |

                                                         1
o4 : coherent sheaf on projplane, subsheaf of OO
                                                projplane

i5 : can = sheafExt^1(II,OO_projplane^1(-4))

o5 = cokernel | c b a2 |
              | d c b2 |

                                                         2
o5 : coherent sheaf on projplane, quotient of OO
                                                projplane

i6 : codim can

o6 = 2

i7 :