{"paper":{"title":"Stable Higgs bundles over positive principal elliptic fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Indranil Biswas, Mahan Mj, Misha Verbitsky","submitted_at":"2018-06-11T07:18:36Z","abstract_excerpt":"Let $M$ be a compact complex manifold of dimension at least three and $\\Pi : M\\rightarrow X$ a positive principal elliptic fibration, where $X$ is a compact K\\\"ahler orbifold. Fix a preferred Hermitian metric on $M$. In \\cite{V}, the third author proved that every stable vector bundle on $M$ is of the form $L\\otimes \\Pi^*B_0$, where $B_0$ is a stable vector bundle on $X$, and $L$ is a holomorphic line bundle on $M$. Here we prove that every stable Higgs bundle on $M$ is of the form $(L\\otimes \\Pi^*B_0,\\Pi^*\\Phi_X)$, where $(B_0, \\Phi_X)$ is a stable Higgs bundle on $X$ and $L$ is a holomorphic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03838","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"}