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math.AG2025
A dynamical characterisation of smooth cubic affine surfaces of Markov type
Marc Abboud
Using valuative techniques, we show that a smooth affine surface with a non-elementary automorphism group and completable by a cycle of rational curves is either the algebraic toru…
math.AG2025
A local version of the arithmetic Hodge index theorem over quasiprojective varieties
Marc Abboud
We define a local intersection number for metrised line bundles over quasiprojective varieties with compact support and show the local arithmetic Hodge index theorem for this inter…