{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1361699995156085376.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.5802/aif.59"}},{"identifier":{"@type":"URI","@value":"https://aif.centre-mersenne.org/item/10.5802/aif.59.pdf"}}],"dc:title":[{"@value":"Géométrie algébrique et géométrie analytique"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>\n                    Toute variété algébrique\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                      <mml:mi>X</mml:mi>\n                    </mml:math>\n                    sur le corps des nombres complexes peut être munie, de façon canonique, d’une structure d’espace analytique ; tout faisceau algébrique cohérent sur\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                      <mml:mi>X</mml:mi>\n                    </mml:math>\n                    détermine un faisceau analytique cohérent. Lorsque\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                      <mml:mi>X</mml:mi>\n                    </mml:math>\n                    est une variété projective, nous montrons que, réciproquement, tout faisceau analytique cohérent sur\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                      <mml:mi>X</mml:mi>\n                    </mml:math>\n                    peut être obtenu ainsi, et de façon unique ; de plus, cette correspondance préserve les groupes de cohomologie. Ces résultats contiennent comme cas particuliers des théorèmes classiques de Chow et Lefschetz, et permettent d’aborder la comparaison entre espaces fibrés algébriques et espaces fibrés analytiques de base une variété algébrique projective.\n                  </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381699995156085376","@type":"Researcher","foaf:name":[{"@value":"Jean-Pierre Serre"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"17775310"}],"prism:publicationName":[{"@value":"Annales de l'Institut Fourier"}],"dc:publisher":[{"@value":"MathDoc/Centre Mersenne"}],"prism:publicationDate":"1956","prism:volume":"6","prism:startingPage":"1","prism:endingPage":"42"},"reviewed":"false","url":[{"@id":"https://aif.centre-mersenne.org/item/10.5802/aif.59.pdf"}],"createdAt":"2011-09-05","modifiedAt":"2025-10-10","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360013168815550464","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"AN ALGORITHM OF COMPUTING COHOMOLOGY INTERSECTION NUMBER OF HYPERGEOMETRIC INTEGRALS"}]},{"@id":"https://cir.nii.ac.jp/crid/1360025430647036800","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Categorical generic fiber"}]},{"@id":"https://cir.nii.ac.jp/crid/1360290617453536000","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"GEOMETRY OF REGULAR HESSENBERG VARIETIES"}]},{"@id":"https://cir.nii.ac.jp/crid/1360576118702905472","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"A finiteness theorem for holonomic DQ-modules\non Poisson manifolds"}]},{"@id":"https://cir.nii.ac.jp/crid/1360576966733232256","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"A Remark on Hörmander’s Isomorphism"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205113780736","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"A Theorem on Flat Couples"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205115630208","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"ALGEBRAIC VARIETIES BIHOLOMORPHIC TO {C^ * } × {C^ * }"},{"@value":"Algebraic varieties biholomorphic to ${\\bf C}^{^{\\ast}}\\times {\\bf C}^{^{\\ast}}$"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205321964160","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"ja","@value":"現代数学の歩み60年 : 代数幾何学の歩みを中心にして(<特集>「数学と論理学の60年」)"},{"@language":"en","@value":"Development of Mathematics during Recent 60 Years with Special Regard to Algebraic Geometry(<Special Section>60 Years of Mathematics and Logic)"},{"@value":"現代数学の歩み60年 : 代数幾何学の歩みを中心にして"},{"@language":"ja-Kana","@value":"ゲンダイ スウガク ノ アユミ 60ネン : ダイスウ キカガク ノ アユミ オ チュウシン ニ シテ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390015410760492928","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Localization formulas of cohomology intersection numbers"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282680095691392","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Chapitre IV Les Ext de faisceaux de modules"},{"@value":"Sur quelques points d'algèbre homologique, II"}]},{"@id":"https://cir.nii.ac.jp/crid/1521699229840036352","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Some aspects of the Hodge conjecture"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.5802/aif.59"},{"@type":"CROSSREF","@value":"10.2748/tmj/1178229980_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.2748/tmj/1178244774_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.1017/nmj.2021.2_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.1016/j.jalgebra.2024.12.013_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.3792/pja/1195523970_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.1007/s00031-020-09554-8_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.2969/jmsj/87738773_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.2140/tunis.2021.3.571_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.1007/978-4-431-55744-9_20_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.4288/kisoron.43.1-2_3_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"},{"@type":"CROSSREF","@value":"10.1007/s11537-007-0639-x_references_DOI_fQrGGLwAyvFSA5jI0bEAFvxaYb"}]}