. . . . . "Vector bundle, analytic"@en . . . "\u5168\u7EAF\u5411\u91CF\u4E1B"@zh . . . . "In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and the projection map \u03C0 : E \u2192 X is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle. A holomorphic line bundle is a rank one holomorphic vector bundle."@en . . . . . "13257"^^ . . . "Holomorphic vector bundle"@en . "In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and the projection map \u03C0 : E \u2192 X is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle. A holomorphic line bundle is a rank one holomorphic vector bundle. By Serre's GAGA, the category of holomorphic vector bundles on a smooth complex projective variety X (viewed as a complex manifold) is equivalent to the category of algebraic vector bundles (i.e., locally free sheaves of finite rank) on X."@en . . . . . . . . . . . . . . . . "1037945825"^^ . . . . . . . . . . . "v/v096400"@en . . . . . . . "\u6570\u5B66\u306B\u304A\u3044\u3066\uFF0C\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F\uFF08\u305B\u3044\u305D\u304F\u30D9\u30AF\u30C8\u30EB\u305D\u304F\uFF0C\u82F1: holomorphic vector bundle\uFF09\u3068\u306F\uFF0C\u8907\u7D20\u591A\u69D8\u4F53 X \u4E0A\u306E\u8907\u7D20\u30D9\u30AF\u30C8\u30EB\u675F\u3067\u3042\u3063\u3066\uFF0C\u5168\u7A7A\u9593 E \u304C\u8907\u7D20\u591A\u69D8\u4F53\u3067\u3042\u308A\u5C04\u5F71 \u03C0: E \u2192 X \u304C\u6B63\u5247\u3067\u3042\u308B\u3088\u3046\u306A\u3082\u306E\u3067\u3042\u308B\uFF0E\u57FA\u672C\u7684\u306A\u4F8B\u306F\u8907\u7D20\u591A\u69D8\u4F53\u306E\u6B63\u5247\u63A5\u675F\u3068\u305D\u306E\u53CC\u5BFE\u6B63\u5247\u4F59\u63A5\u675F\u3067\u3042\u308B\uFF0E\u6B63\u5247\u76F4\u7DDA\u675F (holomorphic line bundle) \u306F\u968E\u6570\u304C 1 \u306E\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F\u3067\u3042\u308B\uFF0E \u30BB\u30FC\u30EB\u306E GAGA \u306B\u3088\u308A\uFF0C\u6ED1\u3089\u304B\u306A\u8907\u7D20\u5C04\u5F71\u591A\u69D8\u4F53 X\uFF08\u8907\u7D20\u591A\u69D8\u4F53\u3068\u898B\u308B\uFF09\u4E0A\u306E\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F\u306E\u570F\u306F\uFF0CX \u4E0A\u306E\uFF08\u3059\u306A\u308F\u3061\u968E\u6570\u304C\u6709\u9650\u306E\u5C40\u6240\u81EA\u7531\u5C64\uFF09\u306E\u570F\u3068\u540C\u5024\u3067\u3042\u308B\uFF0E"@ja . . . . . . "\u6570\u5B66\u4E0A\uFF0C\u5168\u7EAF\u5411\u91CF\u4E1B\u662F\u6307\u4E00\u4E2A\u5728\u590D\u6D41\u5F62X\u4E0A\u7684\u590D\u5411\u91CF\u4E1B\uFF0C\u5176\u5168\u7A7A\u95F4E\u4E3A\u4E00\u590D\u6D41\u5F62\uFF0C\u4E1B\u6295\u5F71\u662F\u5168\u7EAF\u7684\u3002\u91CD\u8981\u7684\u5168\u7EAF\u5411\u91CF\u4E1B\u5305\u62EC\u590D\u6D41\u5F62\u4E0A\u7684\u5168\u7EAF\u5207\u4E1B\uFF0C\u4EE5\u53CA\u5176\u5BF9\u5076\u5168\u7EAF\u4F59\u5207\u4E1B\u3002\u4E00\u9636\u5168\u7EAF\u5411\u91CF\u4E1B\u4E5F\u79F0\u4F5C\u5168\u7EAF\u7EBF\u4E1B\u3002 \u5168\u7EAF\u5411\u91CF\u4E1B\u7684\u5E73\u51E1\u5316\u6620\u5C04 \u4E3A\u3002\u5373\u7B49\u4EF7\u4E8E\u8F6C\u6362\u51FD\u6570 \u4E3A\u5168\u7EAF\u6620\u5C04\u3002"@zh . "Fibrado vetorial holom\u00F3rfico"@pt . . . . "\u6570\u5B66\u4E0A\uFF0C\u5168\u7EAF\u5411\u91CF\u4E1B\u662F\u6307\u4E00\u4E2A\u5728\u590D\u6D41\u5F62X\u4E0A\u7684\u590D\u5411\u91CF\u4E1B\uFF0C\u5176\u5168\u7A7A\u95F4E\u4E3A\u4E00\u590D\u6D41\u5F62\uFF0C\u4E1B\u6295\u5F71\u662F\u5168\u7EAF\u7684\u3002\u91CD\u8981\u7684\u5168\u7EAF\u5411\u91CF\u4E1B\u5305\u62EC\u590D\u6D41\u5F62\u4E0A\u7684\u5168\u7EAF\u5207\u4E1B\uFF0C\u4EE5\u53CA\u5176\u5BF9\u5076\u5168\u7EAF\u4F59\u5207\u4E1B\u3002\u4E00\u9636\u5168\u7EAF\u5411\u91CF\u4E1B\u4E5F\u79F0\u4F5C\u5168\u7EAF\u7EBF\u4E1B\u3002 \u5168\u7EAF\u5411\u91CF\u4E1B\u7684\u5E73\u51E1\u5316\u6620\u5C04 \u4E3A\u3002\u5373\u7B49\u4EF7\u4E8E\u8F6C\u6362\u51FD\u6570 \u4E3A\u5168\u7EAF\u6620\u5C04\u3002"@zh . . . . . . . . . "\uBBF8\uBD84\uAE30\uD558\uD559\uC5D0\uC11C \uC815\uCE59 \uBCA1\uD130 \uB2E4\uBC1C(\u6B63\u5247vector\uB2E4\uBC1C, \uC601\uC5B4: holomorphic vector bundle) \uB610\uB294 \uD574\uC11D\uC801 \uBCA1\uD130 \uB2E4\uBC1C(\u89E3\u6790\u7684vector\uB2E4\uBC1C, \uC601\uC5B4: analytic vector bundle)\uC740 \uBCF5\uC18C\uB2E4\uC591\uCCB4 \uC704\uC5D0 \uC815\uC758\uB41C, \uC0AC\uC601 \uC0AC\uC0C1\uC774 \uC815\uCE59 \uD568\uC218\uC778 \uBCF5\uC18C\uC218 \uBCA1\uD130 \uB2E4\uBC1C\uC774\uB2E4."@ko . . . . . . . . . . . . . . "4794668"^^ . "\uC815\uCE59 \uBCA1\uD130 \uB2E4\uBC1C"@ko . . "Em matem\u00E1tica, um fibrado de linhas holom\u00F3rfico \u00E9 um fibrado vetorial complexo sobre uma variedade complexa X tal que o espa\u00E7o total E \u00E9 uma variedade complexa e o mapa de proje\u00E7\u00E3o \u00E9 holom\u00F3rfica. Especificamente, requer-se que os mapas de trivializa\u00E7\u00E3o s\u00E3o . Isto \u00E9 equivalente a requerer que as fun\u00E7\u00F5es de transi\u00E7\u00E3o s\u00E3o mapas holom\u00F3rficos. Um fibrado de linhas holom\u00F3rfico \u00E9 um fibrado vetorial holom\u00F3rfico de ordem um."@pt . . . . "\uBBF8\uBD84\uAE30\uD558\uD559\uC5D0\uC11C \uC815\uCE59 \uBCA1\uD130 \uB2E4\uBC1C(\u6B63\u5247vector\uB2E4\uBC1C, \uC601\uC5B4: holomorphic vector bundle) \uB610\uB294 \uD574\uC11D\uC801 \uBCA1\uD130 \uB2E4\uBC1C(\u89E3\u6790\u7684vector\uB2E4\uBC1C, \uC601\uC5B4: analytic vector bundle)\uC740 \uBCF5\uC18C\uB2E4\uC591\uCCB4 \uC704\uC5D0 \uC815\uC758\uB41C, \uC0AC\uC601 \uC0AC\uC0C1\uC774 \uC815\uCE59 \uD568\uC218\uC778 \uBCF5\uC18C\uC218 \uBCA1\uD130 \uB2E4\uBC1C\uC774\uB2E4."@ko . "Em matem\u00E1tica, um fibrado de linhas holom\u00F3rfico \u00E9 um fibrado vetorial complexo sobre uma variedade complexa X tal que o espa\u00E7o total E \u00E9 uma variedade complexa e o mapa de proje\u00E7\u00E3o \u00E9 holom\u00F3rfica. Especificamente, requer-se que os mapas de trivializa\u00E7\u00E3o s\u00E3o . Isto \u00E9 equivalente a requerer que as fun\u00E7\u00F5es de transi\u00E7\u00E3o s\u00E3o mapas holom\u00F3rficos. Um fibrado de linhas holom\u00F3rfico \u00E9 um fibrado vetorial holom\u00F3rfico de ordem um."@pt . "\u6570\u5B66\u306B\u304A\u3044\u3066\uFF0C\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F\uFF08\u305B\u3044\u305D\u304F\u30D9\u30AF\u30C8\u30EB\u305D\u304F\uFF0C\u82F1: holomorphic vector bundle\uFF09\u3068\u306F\uFF0C\u8907\u7D20\u591A\u69D8\u4F53 X \u4E0A\u306E\u8907\u7D20\u30D9\u30AF\u30C8\u30EB\u675F\u3067\u3042\u3063\u3066\uFF0C\u5168\u7A7A\u9593 E \u304C\u8907\u7D20\u591A\u69D8\u4F53\u3067\u3042\u308A\u5C04\u5F71 \u03C0: E \u2192 X \u304C\u6B63\u5247\u3067\u3042\u308B\u3088\u3046\u306A\u3082\u306E\u3067\u3042\u308B\uFF0E\u57FA\u672C\u7684\u306A\u4F8B\u306F\u8907\u7D20\u591A\u69D8\u4F53\u306E\u6B63\u5247\u63A5\u675F\u3068\u305D\u306E\u53CC\u5BFE\u6B63\u5247\u4F59\u63A5\u675F\u3067\u3042\u308B\uFF0E\u6B63\u5247\u76F4\u7DDA\u675F (holomorphic line bundle) \u306F\u968E\u6570\u304C 1 \u306E\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F\u3067\u3042\u308B\uFF0E \u30BB\u30FC\u30EB\u306E GAGA \u306B\u3088\u308A\uFF0C\u6ED1\u3089\u304B\u306A\u8907\u7D20\u5C04\u5F71\u591A\u69D8\u4F53 X\uFF08\u8907\u7D20\u591A\u69D8\u4F53\u3068\u898B\u308B\uFF09\u4E0A\u306E\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F\u306E\u570F\u306F\uFF0CX \u4E0A\u306E\uFF08\u3059\u306A\u308F\u3061\u968E\u6570\u304C\u6709\u9650\u306E\u5C40\u6240\u81EA\u7531\u5C64\uFF09\u306E\u570F\u3068\u540C\u5024\u3067\u3042\u308B\uFF0E"@ja . . . . . "\u6B63\u5247\u30D9\u30AF\u30C8\u30EB\u675F"@ja . .