Timeline for Forms over finite fields and Chevalley's theorem
Current License: CC BY-SA 2.5
5 events
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| Mar 17, 2010 at 20:27 | comment | added | Pete L. Clark | @AS: Yes, it does. Thanks for pointing this out. Amusingly the case with $d_i = 1$ for all $i$ is given in en.wikipedia.org/wiki/Chevalley%E2%80%93Warning_theorem (and is the only anisotropic example given there), but it did not inspire me to think of the generalization to simultaneous norm equations. Again, looking for geometrically integral examples seems more interesting... | |
| Mar 17, 2010 at 14:19 | comment | added | Wanderer | Your last question is interesting, but doesn't the classical norm example still work? Just take norm forms - in disjoint sets of variables - for extensions of degree $d_1,d_2,\,\cdots,d_r$ where $d_1 + d_2 + \cdots + d_r = n$. | |
| Mar 17, 2010 at 14:14 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Mar 17, 2010 at 13:37 | comment | added | Franz Lemmermeyer | The third term of your cubic form should be x_2^3. | |
| Mar 17, 2010 at 3:41 | history | answered | Pete L. Clark | CC BY-SA 2.5 |