{"paper":{"title":"Automorphisms of blowups of threefolds being Fano or having Picard number $1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DS"],"primary_cat":"math.AG","authors_text":"Tuyen Trung Truong","submitted_at":"2015-01-07T15:19:50Z","abstract_excerpt":"Let $X_0$ be a smooth projective threefold which is Fano or which has Picard number $1$. Let $\\pi :X\\rightarrow X_0$ be a finite composition of blowups along smooth centers. We show that for \"almost all\" of such $X$, if $f\\in Aut(X)$ then its first and second dynamical degrees are the same. We also construct many examples of finite blowups $X\\rightarrow X_0$, on which any automorphism is of zero entropy.\n  The main idea is that because of the log-concavity of dynamical systems and the invariance of Chern classes under holomorphic automorphisms, there are some constraints on the nef cohomology "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01515","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"}