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Calculating Euler characteristics
https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2864
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Author:  User56437 [ Wed Sep 25, 2019 12:54 pm ]
Post subject:  Calculating Euler characteristics

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?

Author:  User56437 [ Tue Oct 01, 2019 1:03 pm ]
Post subject:  Re: Calculating Euler characteristics

So I ended up contacting the person who wrote the chern.lib library and they have corrected the code, which should be updated as well.

Author:  hannes [ Thu Oct 10, 2019 11:01 am ]
Post subject:  Re: Calculating Euler characteristics

fix with git commit 29f72ad8f1379c65671fb9809ace7ac76fa0cd20
see https://www.singular.uni-kl.de:8002/tra ... a0cd20/git

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