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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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.01515","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-07T15:19:50Z","cross_cats_sorted":["math.CV","math.DS"],"title_canon_sha256":"7fdf8f472a5c64599a385f4e85cad0cc2da18ca9c32744006adcf149ab721b8e","abstract_canon_sha256":"731adcbf828cce4f0600063cbe3104317aea349d83f06087b3dc2cd95a3b6475"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:53.921481Z","signature_b64":"HWylvxMkQEUH/2ifPU/46f2lX5VvZrNlXcn9n/ctN7qN6zmb3JxvpDWdIBNblAGBAcPw32NNe9CyL6TcCNZCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"305a3cf51f7486cf6250f9f59842347da8c24e313cf1848453a751f821683f25","last_reissued_at":"2026-05-18T02:29:53.920833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:53.920833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $1$. 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