Automorphisms of even unimodular lattices and unramified Salem numbers
Automorphisms of even unimodular lattices and unramified Salem numbers
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DOI：
10.1016/s0021-8693(02)00552-5
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发表时间：
2002-11
影响因子：
0.9
通讯作者：
B. Gross;C. McMullen
中科院分区：
文献类型：
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作者：
B. Gross;C. McMullen
本文研究了特征多项式S（x）=det（xI-F| IIp，q）的偶幺模格的自同构。特别地，我们证明了任何满足S（−1）S（1）=（−1）的2n次Salem多项式都来自不定格的自同构，这一结果可应用于K3曲面。
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)narises from an automorphism of an indefinite lattice, a result with applications to K3 surfaces.