Geodesic
A Horrocks-Type Theorem for Even Orthogonal $\text{K}_2$
Documenta mathematica, Tome 25 (2020), pp. 767-809
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We prove the Horrocks theorem for unstable even-dimensional orthogonal Steinberg groups. The Horrocks theorem for Steinberg groups is one of the principal ingredients needed for the proof of the K2​-analogue of Serre's problem, positive solution of which currently is only known in the linear case.
DOI : 10.4171/dm/762
Classification : 19C20
Mots-clés : Steinberg group, K2​-functor, Quillen-Suslin theorem, Horrocks theorem, P1-glueing 
@article{10_4171_dm_762,
     author = {Andrei V. Lavrenov and Sergei S. Sinchuk},
     title = {A {Horrocks-Type} {Theorem} for {Even} {Orthogonal} $\text{K}_2$},
     journal = {Documenta mathematica},
     pages = {767--809},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/762},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/762/}
}
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Andrei V. Lavrenov; Sergei S. Sinchuk. A Horrocks-Type Theorem for Even Orthogonal $\text{K}_2$. Documenta mathematica, Tome 25 (2020), pp. 767-809. doi: 10.4171/dm/762

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