Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers

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Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers

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Title: Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers
Author: Gross, Benedict H.; McMullen, Curtis T.

Note: Order does not necessarily reflect citation order of authors.

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.
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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.
Published Version: doi:10.1016/S0021-8693(02)00552-5
Other Sources: http://www.math.harvard.edu/~ctm/papers/index.html
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:3446009

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  • FAS Scholarly Articles [6464]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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