Dear John
On 22 Mai, 10:25, John Cremona <john.crem...@gmail.com> wrote:
> There are 3 conventions for the degree of the 0 polynomial, none of which is
> 0:
>
> (1) None (a bit lazy and hard to work with in most non-python languages)
> (2) -1 (rather arbitrary, I think, it just has the useful property
> of being strictly less than any other degree)
> (3) -Infinity (less arbitrary, also less then any other degree, makes
> formulas like deg(fg)=deg(f)+deg(g) work in all cases, and fits in
> best with more highbrow concepts such as valuations).
You are right. I forgot that there is inifinity in Sage. So, even
though it dissents with Singular, I think -infinity is mathematically
the most consistent answer for the degree of zero.
Cheers,
Simon
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