# Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers

 dc.contributor.author Gross, Benedict H. dc.contributor.author McMullen, Curtis T. dc.date.accessioned 2009-12-21T19:49:45Z dc.date.issued 2002 dc.identifier.citation 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. en_US dc.identifier.issn 0021-8693 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:3446009 dc.description.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. en_US dc.description.sponsorship Mathematics en_US dc.language.iso en_US en_US dc.publisher Elsevier en_US dc.relation.isversionof doi:10.1016/S0021-8693(02)00552-5 en_US dc.relation.hasversion http://www.math.harvard.edu/~ctm/papers/index.html en_US dash.license LAA dc.title Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers en_US dc.type Journal Article en_US dc.description.version Author's Original en_US dc.relation.journal Journal of Algebra en_US dash.depositing.author McMullen, Curtis T. dc.date.available 2009-12-21T19:49:45Z

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