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math.NT2024
Characteristic polynomials of isometries of even unimodular lattices
Yuta Takada
E. Bayer-Fluckiger gave a necessary and sufficient condition for a polynomial to be realized as the characteristic polynomial of a semisimple isometry of an even unimodular lattice…
math.NT2022
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20
Yuta Takada
This article extends Bayer-Fluckiger's theorem on characteristic polynomials of isometries on an even unimodular lattice to the case where the isometries have determinant . As…