Geodesic
The $K$-Theory of Versal Flags and Cohomological Invariants of Degree 3
Documenta mathematica, Tome 22 (2017), pp. 1117-1148.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Let $G$ be a split semisimple linear algebraic group over a field and let $X$ be a generic twisted flag variety of $G$. Extending the Hilbert basis techniques to Laurent polynomials over integers we give an explicit presentation of the Grothendieck ring $K_0(X)$ in terms of generators and relations in the case $G=G^{sc}/\mu_2>$ is of Dynkin type A or C (here $G^{sc}$ is the simply-connected cover of $G$); we compute various groups of (indecomposable, semi-decomposable) cohomological invariants of degree 3, hence, generalizing and extending previous results in this direction.
Classification : 19-XX, 14M17, 20G15, 14C35
Keywords: linear algebraic group, twisted flag variety, ideal of invariants, versal torsor, cohomological invariant 
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     title = {The $K${-Theory} of {Versal} {Flags} and {Cohomological} {Invariants} of {Degree} 3},
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Baek, Sanghoon; Devyatov, Rostislav; Zainoulline, Kirill. The $K$-Theory of Versal Flags and Cohomological Invariants of Degree 3. Documenta mathematica, Tome 22 (2017), pp. 1117-1148. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a20/