Discussion between Jens Renders and mathreadler

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21:29

Q: Intersection numbers and multiplicities in Fulton's book

I'm reading Algebraic Curves by Fulton where the concept of intersection numbers is introduced on page 36. They give both a definition $$I(P,F\cap G) = \mathcal{O}_P(\mathbb{A^2})/(F,G)$$ And a characterisation using 7 properties. The 5th property of those is: $$I(P,F\cap G) \geq m_p(F)m_p(G)$$ W...

algebraic-geometry

mathreadler

What have you tried?

Jens Renders

@mathreadler I've gone trough the whole argument. every step seems to work for arbitrary $n$ and $m$. This is ofcourse impossible, hence my question

mathreadler

Maybe the book simply sucks and you should build your own one.

Jens Renders

@mathreadler I don't get what you are trying to imply? I know that this is a good book, I know that the theorem is false for arbitrary $n$ and $m$ (that is obvious), so i've been going trough the argument again and again and not finding the point where this is used. Hence my question

mathreadler

I have nothing more to contribute. This was not really my field, I was always more into psychology all the time..

Jens Renders

21:29

@mathreadler Nothing -more- to contribute? then what have you contributed? I don't get the point of your comments

mathreadler

I am running out of time and spending my resources wrong.

Jens Renders

you are acting quite strange, especially for someone with 9k reputation

could you please cleary explain what you are trying to say?

mathreadler

I could use some more information.

Jens Renders

@mathreadler what information do you need? I've linked the book and provided the page number, you can have a look there. If you want me to state some definitions in the question, just tell me which ones. I'm not sure which concepts and notations are common knowledge in this area

mathreadler

Just stop the experiments okay? I don't know if you know anything about it. But I know someone who reads this knows...

Jens Renders

21:47

Stop what experiments? I'm doing my best to provide the information needed for this question to be clear, but you seem to talk nonsense to me

mathreadler

nonsense is a distinctively british flavour of the english language. you have exposed yourself!

Jens Renders

I am a belgian math student, nothing to hide

mathreadler

Yes belgium and the netherlands is what we need to scare him off from now ;)

just start paying me instead of my family if you want my hel.

Jens Renders

Okay took me long enough to realise that you are not making any sens at all. I just tough you would be sincere because of your rep but appareantly that doesn't say it all

mathreadler

You know what methods don't work by now at least.

Jens Renders

22:05

what methods don't work for what?

how am I paying your family

I do want you're help but not for money, I help people on here all the time (that's what this site is for right)

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