Unramified cohomology of finite groups of Lie type
We prove vanishing results for unramified stable cohomology of finite groups of Lie type.
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arXiv subjects
Tihomir Petrov
Publications and source records attributed to Tihomir Petrov.
Brauer groups and crepant resolutions
We suggest a twisted version of the categorical McKay correspondence and prove several results related to it.
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Unramified Brauer groups of finite simple groups of Lie type $A_{\ell}$
We study the subgroup B_0(G) of H^2(G,Q/Z) consisting of all elements which have trivial restrictions to every Abelian subgroup of G. The group B_0(G) serves as the simplest nontrivial obstruction to stable rationality of algebraic varieties V/G where V is a faithful complex linear representation of the group G. We prove that B_0(G) is trivial for finite simple groups of Lie type A_{\ell}.
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Rationality of moduli of elliptic fibrations with fixed monodromy
We prove rationality results for moduli spaces of elliptic K3 surfaces and elliptic rational surfaces with fixed monodromy groups.
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