{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T20:49:44Z","timestamp":1768337384352,"version":"3.49.0"},"reference-count":7,"publisher":"MathDoc\/Centre Mersenne","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>\n                    We classify the holonomic systems of (micro) differential equations of multiplicity one along a singular Lagrangian irreducible variety contained in an involutive submanifold of maximal codimension. We show that their solutions are related to\n                    <jats:sub>\n                      <jats:italic>k<\/jats:italic>\n                    <\/jats:sub>\n                    <jats:italic>F<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>k<\/jats:italic>\n                      \u22121\n                    <\/jats:sub>\n                    hypergeometric functions on the Riemann sphere.\n                  <\/jats:p>","DOI":"10.1016\/s1631-073x(02)02436-6","type":"journal-article","created":{"date-parts":[[2002,10,11]],"date-time":"2002-10-11T07:30:57Z","timestamp":1034321457000},"page":"171-176","source":"Crossref","is-referenced-by-count":2,"title":["Holonomic systems with solutions ramified along a\u00a0cusp"],"prefix":"10.5802","volume":"335","author":[{"given":"Orlando","family":"Neto","sequence":"first","affiliation":[]},{"given":"Pedro C.","family":"Silva","sequence":"additional","affiliation":[]}],"member":"3842","published-online":{"date-parts":[[2002,1,1]]},"reference":[{"key":"key2025102009581750917_1","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1007\/BF01393900","article-title":"The monodromy of the hypergeometric function <sub><span class=\"italique\">n<\/span><\/sub><span class=\"italique\">F<\/span><sub><span class=\"italique\">n<\/span>\u22121<\/sub>","volume":"95","author":"Beuckers, F.","year":"1989","unstructured":"[1] Beuckers, F.; Heckman, G. The monodromy of the hypergeometric function nFn\u22121, Invent. Math., Volume 95 (1989), pp. 325-354","journal-title":"Invent. Math."},{"key":"key2025102009581750917_2","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-0717-6","author":"Bjork, J.-E.","year":"1993","unstructured":"[2] Bjork, J.-E. Analytic \ud835\udc9f-modules and Applications, Kluwer Academic, 1993","journal-title":"Analytic <span class=\"mathjax-formula\" data-tex=\"$ \\mathcal{D}$\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>\ud835\udc9f<\/mi><\/math><\/span>-modules and Applications"},{"key":"key2025102009581750917_3","doi-asserted-by":"crossref","first-page":"813","DOI":"10.2977\/prims\/1195184396","article-title":"On holonomic systems of microdifferential equations III","volume":"17","author":"Kashiwara, M.","year":"1981","unstructured":"[3] Kashiwara, M.; Kawai, T. On holonomic systems of microdifferential equations III, Publ. Res. Inst. Math. Sci., Volume 17 (1981), pp. 813-979","journal-title":"Publ. Res. Inst. Math. Sci."},{"key":"key2025102009581750917_4","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/S1385-7258(61)50037-6","article-title":"Hypergeometric functions","volume":"23","author":"Levelt, A.H.","year":"1961","unstructured":"[4] Levelt, A.H. Hypergeometric functions, Indag. Math., Volume 23 (1961), pp. 361-403","journal-title":"Indag. Math."},{"key":"key2025102009581750917_5","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1023\/A:1017575902563","article-title":"A microlocal Riemann\u2013Hilbert correspondence","volume":"127","author":"Neto, O.","year":"2001","unstructured":"[5] Neto, O. A microlocal Riemann\u2013Hilbert correspondence, Comp. Math., Volume 127 (2001), pp. 229-241","journal-title":"Comp. Math."},{"key":"key2025102009581750917_6","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61665-5","author":"Schapira, P.","year":"1985","unstructured":"[6] Schapira, P. Microdifferential Systems in the Complex Domain, Springer-Verlag, 1985","journal-title":"Microdifferential Systems in the Complex Domain"},{"key":"key2025102009581750917_7","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/BF01391666","article-title":"Micro-local analysis of prehomogeneous vector spaces","volume":"62","author":"Sato, M.","year":"1980","unstructured":"[7] Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T. Micro-local analysis of prehomogeneous vector spaces, Invent. Math., Volume 62 (1980), pp. 117-178","journal-title":"Invent. Math."}],"container-title":["Comptes Rendus. Math\u00e9matique"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/comptes-rendus.academie-sciences.fr\/mathematique\/item\/10.1016\/S1631-073X(02)02436-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T07:59:06Z","timestamp":1760947146000},"score":1,"resource":{"primary":{"URL":"https:\/\/comptes-rendus.academie-sciences.fr\/mathematique\/articles\/10.1016\/S1631-073X(02)02436-6\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1,1]]},"references-count":7,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2002]]}},"alternative-id":["10.1016\/S1631-073X(02)02436-6"],"URL":"https:\/\/doi.org\/10.1016\/s1631-073x(02)02436-6","relation":{},"ISSN":["1631-073X","1778-3569"],"issn-type":[{"value":"1631-073X","type":"print"},{"value":"1778-3569","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,1,1]]}}}