Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers
| 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. |
| Full Text & Related Files: |
McMullen_AutomorphismUnimodular.pdf (326.1Kb; PDF) 
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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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