Timeline for Why must nilpotent elements be allowed in modern algebraic geometry?
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| Feb 13, 2011 at 2:56 | comment | added | roy smith | this is a great example. more generally consider any polynomial map at all from k^n -->k^m, and the inverse image of a point. Special inverse imgges will be hard to understand properly in context, unless they are taken with their not necessarily reduced structure. And yes this is an example of fiber product. also ask yourself, why dow e want to consider roots of polynomials together with their multiplicities? otherwise the theorem on constancy of number of roots in terms of degree would fail. | |
| Feb 12, 2011 at 22:37 | history | edited | Donu Arapura | CC BY-SA 2.5 |
added 183 characters in body
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| Feb 12, 2011 at 22:31 | history | answered | Donu Arapura | CC BY-SA 2.5 |