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We define a so-called least negative intersection of the currents $T_1,T_2,\\ldots ,T_{k-p}$ and $R$, as a sublinear bounded operator \\begin{eqnarray*} \\bigwedge (T_1,\\ldots ,T_{k-p},R):~C^0(X)\\rightarrow \\mathbb{R}. \\end{eqnarray*} This operator is {\\bf symmetric} in $T_1,\\ldots ,T_{k-p}$. It is {\\bf independent} of the choice of a quasi-potential $u_i$ of $T_i$, of the choice of a smooth closed $(1,1)$ form $\\theta "},"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":"1404.2875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-10T16:43:13Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"06218bb0ea12f46fe8cb0da95f7e4c3b88bd6d59d8c53900d6881f87174bf24f","abstract_canon_sha256":"aea1af9a6b80bdb35fd94133310bfce891e36cd7510be5d4a2a13f8a6b03570c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:06.446757Z","signature_b64":"va2zwMHCyFdD1k6LfBn+5S0hNvRCzBKe3VC/SFTqepWDeKaP1xFpCYY1OCLVWZysMjIWBy7Hc8MRk6cRyeE0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c263ab54704f6bac4f70c53a17297a935bcb55e27c6293bc2cde60cd1ff418c6","last_reissued_at":"2026-05-18T02:54:06.445999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:06.445999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Least negative intersections of positive closed currents on compact K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Tuyen Trung Truong","submitted_at":"2014-04-10T16:43:13Z","abstract_excerpt":"Let $X$ be a compact K\\\"ahler manifold of dimension $k$. Let $R$ be a positive closed $(p,p)$ current on $X$, and $T_1,\\ldots ,T_{k-p}$ be positive closed $(1,1)$ currents on $X$. We define a so-called least negative intersection of the currents $T_1,T_2,\\ldots ,T_{k-p}$ and $R$, as a sublinear bounded operator \\begin{eqnarray*} \\bigwedge (T_1,\\ldots ,T_{k-p},R):~C^0(X)\\rightarrow \\mathbb{R}. \\end{eqnarray*} This operator is {\\bf symmetric} in $T_1,\\ldots ,T_{k-p}$. 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