Timeline for What is the first interesting theorem in (insert subject here)?
Current License: CC BY-SA 2.5
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| Nov 12, 2009 at 20:04 | comment | added | Steven Gubkin | But it is a great motivator for schemes and cohomology: To put projective and affine space in the same framework, you need gluing. To get the right formulas for higher order contact, you need the scheme theoretic intersection of curves. When you approach the theorem cohomologically, it reduces to just intersecting lines (which is a conceptually beautiful way to approach the proof). So not only is it simple to understand, it can be used as motivation for very deep ideas. | |
| Oct 30, 2009 at 9:18 | comment | added | lhf | Bezout's Theorem is a nice theorem but it is hardly surprising in its proper setting (algebraically closed field, taking into account multiplicities and points at infinity). | |
| Oct 24, 2009 at 20:14 | history | answered | Charles Siegel | CC BY-SA 2.5 |