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math.AG2025
Equivariant automorphism group and real forms of complexity-one varieties
Giancarlo Lucchini Arteche, Ronan Terpereau
Let be a connected reductive real algebraic group. We prove that every real -variety of complexity one admits only finitely many pairwise non-isomorphic -for…
math.RA2025
Central simple algebras, Milnor -theory and homogeneous spaces over complete discretely valued fields of dimension 2
Philippe Gille, Diego Izquierdo, Giancarlo Lucchini Arteche
Let be a complete discretely valued field with residue field of dimension (not necessarily perfect). This occurs if and only if has dimension . We prove the…