@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              We study different hyperbolicity related problems for complete intersection varieties. Given a smooth complete intersection variety X ⊂ M in a smooth complex projective variety M, we prove that if k is bigger than dimX/codimM X and if the multidegree of X is sufficiently big then there exists invariant jet differential equations on X of order k and degree m for m big enough. Then we study a conjecture of O. Debarre: if X ⊂ P^N is the intersection of at least N/2 generic hypersurfaces of sufficiently high degree, then the cotangent bundle of X is ample. We give different results towards this conjecture. We prove that if X satisfies the hypothesis of the conjecture, then X is hyperbolic and the cotangent bundle of X is numerically positive, big, and ample modulo a subset of codimension at least 2. We also give a strategy to compute explicitly symmetric differential forms on particular complete intersection varieties. Then, we prove a vanishing theorem for the cohomology of the Green-Griffiths jet differential bundles, generalizing a result of Schneider and a result of Diverio. Finally, we study the cohomology of line bundles on the universal hypersurface of divisors in P^1.
            """ ;
    dct:identifier "tel-00677065" ;
    dct:issued "2026-05-25T12:46:12.811842"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-25T12:46:12.811859"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Projective varieties with ample cotangent bundle" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00677065v1/resource/f8a68470-587e-42f7-bdde-92d5622be807> ;
    dcat:keyword "conjecture-de-debarre",
        "equations-differentielles-de-jets",
        "formes-differentielles-symetriques",
        "hyperbolicite-au-sens-de-kobayashi",
        "inegalites-de-morse-holomorphes",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmath-agmathematics-mathalgebraic-geometry-mathag",
        "positivite-du-fibre-cotangent",
        "theoremes-dannulation",
        "theses",
        "varietes-intersection-complete" ;
    dcat:landingPage <https://theses.hal.science/tel-00677065> .

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    dct:format "HTML" ;
    dct:issued "2026-05-25T12:46:12.834785"^^xsd:dateTime ;
    dct:modified "2026-05-25T12:46:12.761003"^^xsd:dateTime ;
    dct:title "Projective varieties with ample cotangent bundle" ;
    dcat:accessURL <https://theses.hal.science/tel-00677065> .

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    foaf:name "test_moissonnage_selune" .

<https://theses.hal.science/tel-00677065> a foaf:Document .