bio | website | math.unice.fr/~cazanave |
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location | Nice, France | |
age | ||
visits | member for | 4 years |
seen | Apr 18 at 9:18 | |
stats | profile views | 413 |
Oct 24 |
comment |
Bass' stable range of $\mathbf Z[X]$
The answer is given in a paper of Grunewald, Mennicke and Vaserstein (On the groups $SL_2(\mathbf Z[x])$ and $SL_2(k[x,y])$). Israel J. Math. 86 (1994), no. 1-3, 157–193). One example of unimodular row that is not reducible is the following $(21+ 4x, 12, x^2 + 20)$. |
Oct 24 |
accepted | Bass' stable range of $\mathbf Z[X]$ |
Oct 8 |
awarded | Constituent |
Oct 8 |
awarded | Caucus |
Jul 23 |
comment |
An analogue of the Bass-Quillen conjecture with power or Laurent series
Indeed, sorry for my previous comment. |
Jul 23 |
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An analogue of the Bass-Quillen conjecture with power or Laurent series
You may want to have a look at Lam's book titled "Serre's problem on projective modules", Section V.4 and V.5. |
Jul 17 |
answered | (Preferably rare) Audio/Video recordings of famous mathematicians? |
Jun 17 |
revised |
Bass' stable range of $\mathbf Z[X]$
added 23 characters in body |
Jun 17 |
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Bass' stable range of $\mathbf Z[X]$
Yes, you are right, I'll edit my question. |
Jun 7 |
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Bass' stable range of $\mathbf Z[X]$
Sorry, I was not able to find how to type matrices correctly |
Jun 7 |
answered | Bass' stable range of $\mathbf Z[X]$ |
Jun 6 |
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Bass' stable range of $\mathbf Z[X]$
Is $\mathbf Z[x_1, \dots, x_n]$ really of stable range $n+1$ (and not $n+2$)? |
Jun 6 |
awarded | Nice Question |
Jun 6 |
comment |
Bass' stable range of $\mathbf Z[X]$
I found Example 12.1.14 in Chen's book (it's on page 373). It states that a Dedekind domain is of stable range $2$. The typo you found seems to be rather a mistake. |
Jun 6 |
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Bass' stable range of $\mathbf Z[X]$
Thanks for the reference (although I don't understand the argument too). I'll try to write to the author. |
Jun 5 |
revised |
Bass' stable range of $\mathbf Z[X]$
added 86 characters in body |
Jun 5 |
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Bass' stable range of $\mathbf Z[X]$
It's the ideal generated by these elements. Sorry, I thought this was transparent. |
Jun 5 |
asked | Bass' stable range of $\mathbf Z[X]$ |
Apr 29 |
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Grothendieck 's question - any update?
For another solution to the (refined) question , you can have a look at: François Charles, Conjugate varieties with distinct real cohomology algebras J. Reine Angew. Math. 630 (2009), pp. 125--139. |
Apr 19 |
awarded | Teacher |