Timeline for Rank four quadratic Form with non trivial discriminant in I(k)
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 18, 2014 at 17:28 | comment | added | nxir | This is basically a concrete example for the result of Merkurjev on the u-invariant and galois cohomology i mentioned in my first post. Thanks. I i guess that finding such examples for every power of $I$ is harder,since the invariants $e_n$ which give the isomorphism between $I^n/I^{n+1}$ and $H^n(k,\mu_2)$ are not as intuitive as the classical three invariants. | |
| Jun 18, 2014 at 16:47 | history | edited | Name | CC BY-SA 3.0 |
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| Jun 18, 2014 at 2:39 | comment | added | nxir | Thanks for this easy understandable example. Lets raise the bar a bit. If we consider the Arason-Invariant with Kernel $I^3$, is the same thing possible the?. Meaning is there a field $k$ such that theres an anisotropic form over k with rank at least $8$,which is not in $I^3$? What is known about the generalization of this problem to higher $n$ for $I^n$ ? | |
| Jun 18, 2014 at 2:33 | vote | accept | nxir | ||
| Jun 17, 2014 at 16:34 | history | answered | Name | CC BY-SA 3.0 |