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We study complete solutions to K\\\"ahler-Ricci flow on $M$ which are comparable to $\\hat{\\omega}$, starting from a smooth initial metric $\\omega_0=\\eta +i\\partial \\bar{\\partial} \\phi_0$ where $\\phi_0\\in C^{\\infty}(M)$. When $\\omega_0\\geq c \\hat{\\omega}$ on $M$ for some $c>0$ and $\\phi_0$ has zero Lelong number, we construct a smooth solution $\\omega(t)$ to K\\\"ahler"},"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":"1708.02717","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-09T04:53:28Z","cross_cats_sorted":[],"title_canon_sha256":"b06c3f8da4477dd6d09c8405f1dfc987882b120fe524cbd02264c537410f1632","abstract_canon_sha256":"21ddbe3672131cec8bee20c24e466e48efb1f70e49306f5fa299ffd29a169ece"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:50.636572Z","signature_b64":"LLZSXXRUSU6+ckD8QkWJiDJbQt1pm13kd9dPQuRM3OrCaaMUZk45iRa5OGn6lWynMoJsAbCNwxTjE7Xv0rmQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1782b7020d64d9624ef2613d8efa344ccd8a9e3e7424b5a7141352e5fee0a00","last_reissued_at":"2026-05-18T00:07:50.635941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:50.635941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K\\\"ahler-Ricci flow of cusp singularities on quasi projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Albert Chau, Ka-Fai Li, Liangming Shen","submitted_at":"2017-08-09T04:53:28Z","abstract_excerpt":"Let $\\overline{M}$ be a compact complex manifold with smooth K\\\"ahler metric $\\eta$, and let $D$ be a smooth divisor on $\\overline{M}$. Let $M=\\overline{M}\\setminus D$ and let $\\hat{\\omega}$ be a Carlson-Griffiths type metric on $M$. We study complete solutions to K\\\"ahler-Ricci flow on $M$ which are comparable to $\\hat{\\omega}$, starting from a smooth initial metric $\\omega_0=\\eta +i\\partial \\bar{\\partial} \\phi_0$ where $\\phi_0\\in C^{\\infty}(M)$. 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