{
  "family_id": "033",
  "title": "Iitaka subadditivity, variation, and logarithmic additivity",
  "discipline": "Algebraic and complex geometry",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
  "papers": [
    {
      "title": "Orbifold and logarithmic Iitaka subadditivity",
      "path": "preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf",
      "readme_path": "preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "Logarithmic Kodaira dimension and whole-fiber variation",
      "path": "preprints/Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026/paper.pdf",
      "readme_path": "preprints/Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "The reverse logarithmic Kodaira inequality and additivity",
      "path": "preprints/The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026/paper.pdf",
      "readme_path": "preprints/The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "Projective Hodge lines and ordinary Iitaka subadditivity",
      "path": "preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/paper.pdf",
      "readme_path": "preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "B-semiampleness for compact log-smooth Kähler fibrations",
      "path": "preprints/B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026/paper.pdf",
      "readme_path": "preprints/B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    }
  ],
  "lean_scope_path": "lean/docs/033.md",
  "lean_scope_url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/docs/033.md",
  "verification_status": "scope_document_available_not_independently_verified",
  "review_status": "inventory_complete_deep_review_pending"
}