Geodesic
The $K$-Theory of Versal Flags and Cohomological Invariants of Degree 3
Documenta mathematica, Tome 22 (2017), pp. 1117-1148
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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 K0​(X) in terms of generators and relations in the case G=Gsc/μ2​> is of Dynkin type A or C (here Gsc 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.
DOI : 10.4171/dm/589
Classification : 14C35, 14M17, 19-XX, 20G15
Mots-clés : twisted flag variety, linear algebraic group, ideal of invariants, versal torsor, cohomological invariant 
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     author = {Sanghoon Baek and Rostislav Devyatov and Kirill Zainoulline},
     title = {The $K${-Theory} of {Versal} {Flags} and {Cohomological} {Invariants} of {Degree} 3},
     journal = {Documenta mathematica},
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     year = {2017},
     volume = {22},
     doi = {10.4171/dm/589},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/589/}
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Sanghoon Baek; Rostislav Devyatov; Kirill Zainoulline. The $K$-Theory of Versal Flags and Cohomological Invariants of Degree 3. Documenta mathematica, Tome 22 (2017), pp. 1117-1148. doi: 10.4171/dm/589

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