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math.NT2026
Automorphisms and canonical forms of integer lattices
Simon Brandhorst, Tommy Hofmann
We improve the Plesken--Souvignier algorithm for computing automorphism groups and isometries of positive definite integer quadratic lattices by exploiting characteristic sublattic…
math.AG2026
The Cone Conjecture for Enriques Surfaces in any Characteristic
Simon Brandhorst, Gebhard Martin, Tobias Schnieders
We give a proof of the Morrison-Kawamata cone conjecture for Enriques surfaces independent of their characteristic. It is based on the analysis of certain generically finite morphi…