Geodesic
The Coniveau Filtration on $\text{K}_{1}$ for Some Severi–Brauer Varieties
Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 565-576

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DOI

We produce an isomorphism $E_{\infty }^{m,-m-1}\cong \text{Nrd}_{1}(A^{\otimes m})$ between terms of the $\text{K}$-theory coniveau spectral sequence of a Severi–Brauer variety $X$ associated with a central simple algebra $A$ and a reduced norm group, assuming $A$ has equal index and exponent over all finite extensions of its center and that $\text{SK}_{1}(A^{\otimes i})=1$ for all $i>0$.
DOI : 10.4153/S0008439518000073
Mots-clés : Severi–Brauer variety, coniveau spectral sequence 
Mackall, Eoin. The Coniveau Filtration on $\text{K}_{1}$ for Some Severi–Brauer Varieties. Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 565-576. doi: 10.4153/S0008439518000073
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     author = {Mackall, Eoin},
     title = {The {Coniveau} {Filtration} on $\text{K}_{1}$ for {Some} {Severi{\textendash}Brauer} {Varieties}},
     journal = {Canadian mathematical bulletin},
     pages = {565--576},
     year = {2019},
     volume = {62},
     number = {3},
     doi = {10.4153/S0008439518000073},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439518000073/}
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