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Assume that there exists $\\po \\in A$ such that $A$ is a minimal, generic, holomorphically nondegenerate submanifold at $\\po$.  We show here that if $H$ is a germ at $p_1 \\in A$ of a holomorphic mapping from $\\bC^N$ into itself, with Jacobian $H$ not identically $0$, and $H(A)$ contained in a real algebraic set of the same dimension as $A$, then $H$ must ext"},"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":"math/9510201","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"1995-11-28T23:49:58Z","cross_cats_sorted":[],"title_canon_sha256":"b3ed8ce2cb532c57b62dbe3f14341b60e019bca9754ede8be7d97726f1506b7f","abstract_canon_sha256":"d5f2358161f4c2bf9b73d0b54655b753d70c9707d598524adaf973897671c0e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:48.262116Z","signature_b64":"29xjcpZJKFtAFasw6bkxqU1olj3kWnuR0k96kQwa/oIHSjbJsdt+mFG7Pflc0uzDjIMgtE9TNdMJF5ydVQHXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdc0bc5a105a73d3d4d664762fc6a8374049de15542ee99f0fc70a5d5a233378","last_reissued_at":"2026-05-18T01:05:48.261533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:48.261533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraicity of holomorphic mappings between real algebraic sets in ${\\bold C}^n$","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Linda Preiss Rothschild, M. 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