论文信息 - Automorphisms of even unimodular lattices and unramified Salem numbers

Automorphisms of even unimodular lattices and unramified Salem numbers

Abstract In this paper we study the characteristic polynomials S(x)=det(xI−F|IIp,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.

Curtis T. McMullen | Benedict H. Gross | C. McMullen | B. Gross

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