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Given a $\\widetilde{G}$ equivariant vector bundle $E$ on $X,$ we prove that $E$ is nef (respectively, ample) if and only if its restriction to $Z$ is nef (respectively, ample). Similarly, $E$ is trivial if and only if its restriction to $Z$ is so."},"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":"1501.02540","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-12T04:34:24Z","cross_cats_sorted":[],"title_canon_sha256":"0a32105539d695dab44eb9f3d895e65b63521c1d8b139ae75a34d82cebdc5841","abstract_canon_sha256":"2e8cfdbfa5932d5ca6a3cc002a94ebba51b46221187bc02669e256d7364bc5a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:37.727393Z","signature_b64":"VOcNKqSjRMt5PDoaJcbO68GrThGjSntVxf3xjme8PrgEEqED3HGc20qjcjlWaGr/gGJXx26EuuZROCBJqo22AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"781d32e6e0c7b90bed2bb1e78ac1e6ab6a3d9357a8d37b605841284ac5b11105","last_reissued_at":"2026-05-18T02:29:37.726981Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:37.726981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant vector bundles on complete symmetric varieties of minimal rank","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"D. 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