degOnE -- degree of a vector bundle on E

Usage:

d = degOnE(L)

d = degOnE(phi)
Inputs:
- L, an instance of the type VectorBundleOnE, a vector bundle on E
- phi, a matrix, a matrix which is the yAction of some VectorBundleOnE
Outputs:
- d, an integer, the degree of L

Description

Computes the degree of a vector bundle L on the hyperelliptic curve E.

i1 : kk=ZZ/101;

i2 : setRandomSeed 0
 -- setting random seed to 0

o2 = 0

i3 : g=1;

i4 : rNP=randNicePencil(kk,g);

i5 : f=(cliffordModule(rNP.matFact1,rNP.matFact2,rNP.baseRing)).hyperellipticBranchEquation;

i6 : L0=randomLineBundle(0,f)

o6 = VectorBundleOnE{...1...}

o6 : VectorBundleOnE

i7 : degOnE L0

o7 = 0

i8 : L1=randomLineBundle(1,f)

o8 = VectorBundleOnE{...1...}

o8 : VectorBundleOnE

i9 : degOnE L1

o9 = 1

i10 : Lm1=randomLineBundle(-1,f)

o10 = VectorBundleOnE{...1...}

o10 : VectorBundleOnE

i11 : degOnE Lm1

o11 = -1

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/PencilsOfQuadrics.m2:2990:0.