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Stable cohomology of alternating groups
Fedor Bogomolov, Christian Böhning
In this article we determine the stable cohomology groups H^i_s (A_n, Z/p) of the alternating groups A_n for all integers n and i, and all primes p.
Birational properties of some moduli spaces related to tetragonal curves of genus 7
Christian Böhning, Hans-Christian Graf von Bothmer, Gianfranco Casnati
Let M_{7,n} be the (coarse) moduli space of smooth curves of genus 7 with n marked points defined over the complex field. We denote by M^1_{7,n;4} the locus of points inside M_{7,n…
Linear bounds for levels of stable rationality
Fedor Bogomolov, Christian Böhning, Hans-Christian Graf von Bothmer
Let G be one of the groups SL_n C, Sp_2n C, SO_m C, O_m C, or G_2. For a generically free G-representation V, we say that N is a level of stable rationality for V/G if V/G x P^N is…