Publication: Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers
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Date
2002
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Elsevier
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Gross, Benedict H., and Curtis T. McMullen. 2002. Automorphisms of even unimodular lattices and unramified Salem numbers. Journal of Algebra 257(2): 265-290. Revised 2008.
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Abstract
In this paper we study the characteristic polynomials \(S(x)=\det(xI−F| II_{p,q})\) of automorphisms of even unimodular lattices with signature \((p,q)\). In particular, we show that any Salem polynomial of degree \(2n\) satisfying \(S(−1)S(1)=(−1)^n\) arises from an automorphism of an indefinite lattice, a result with applications to K3 surfaces.
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