Calculating Euler characteristics
User56437 · Wed Sep 25, 2019 12:54 pm
Hello, I am trying to use Singular to calculate Euler characteristics of some affine varieties over the complex numbers. I did a few tests using the EulerAff command and am getting strange results. For example I tried the following (and various similar alterations like changing the field to Q or R, changing the floating point number, adding more variables ...):
ring r = (complex,100,j),(x,y,z),dp;
ideal I = x;
EulerAff(I);
This gives the result 2. But this should be calculating the Euler characteristic of the complex plane and so should be 1. Does anybody know what is going on here/how I can correct this issue?
ring r = (complex,100,j),(x,y,z),dp;
ideal I = x;
EulerAff(I);
This gives the result 2. But this should be calculating the Euler characteristic of the complex plane and so should be 1. Does anybody know what is going on here/how I can correct this issue?