{"paper":{"title":"On a generalization of Inoue and Oeljeklaus-Toma manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.GT"],"primary_cat":"math.DG","authors_text":"Andrei Pajitnov, Hisaaki Endo","submitted_at":"2019-06-18T06:38:25Z","abstract_excerpt":"In this paper we construct a family of complex analytic manifolds that generalize Inoue surfaces and Oeljeklaus-Toma manifolds. To a matrix $M$ in $SL(N,\\mathbb{Z})$ satisfying some mild conditions on its characteristic polynomial we associate a manifold $T(M,\\mathbf{D})$ (depending on an auxiliary parameter $\\mathbf{D}$). This manifold fibers over the $s$-dimensional torus $\\mathbb{T}^s$, where $s$ is the number of real eigenvalues of $M$. The fiber is the $N$-dimensional torus $\\mathbb{T}^{N}$, and the monodromy matrices are certain polynomials of the matrix $M$. The basic difference of our "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07401","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}