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math.AG2026
Automorphisms of a -configuration on the Schur quartic
Gerald Höhn
We answer the automorphism question raised by Naskręcki and Pokora for their -configuration on the Schur quartic. The stabilizer of either -line half is isomorphi…
math.CO2026
The unique self-dual binary code of length 26 with minimum weight 6
Gerald Höhn
The binary Type~I self-dual [26,13,6] code is classical. We give what appears to be the first direct non-computational proof of its uniqueness. We first determine the weight enumer…
math.AT2026
The Kernel of the -Genus in Rational Spin Bordism is Generated by Ricci-Positive Manifolds
Gerald Höhn, Philipp Höhn
We prove that, in every degree, the rational Spin bordism classes represented by manifolds admitting metrics with positive Ricci curvature span exactly the kernel of the -g…