{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,15]],"date-time":"2023-06-15T10:06:18Z","timestamp":1686823578889},"reference-count":24,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2017,5,19]],"date-time":"2017-05-19T00:00:00Z","timestamp":1495152000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inst. Math. Jussieu"],"published-print":{"date-parts":[[2019,5]]},"abstract":"We introduce the notion of regularity for a relative holonomic ${\\mathcal{D}}$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>-module in the sense of Monteiro Fernandes and Sabbah [Internat. Math. Res. Not.<\/jats:italic> (21) (2013), 4961\u20134984]. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes is essentially surjective by constructing a right quasi-inverse functor. When restricted to relative ${\\mathcal{D}}$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>-modules underlying a regular mixed twistor ${\\mathcal{D}}$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>-module, this functor satisfies the left quasi-inverse property.<\/jats:p>","DOI":"10.1017\/s1474748017000184","type":"journal-article","created":{"date-parts":[[2017,5,19]],"date-time":"2017-05-19T03:55:17Z","timestamp":1495166117000},"page":"629-672","source":"Crossref","is-referenced-by-count":3,"title":["RIEMANN\u2013HILBERT CORRESPONDENCE FOR MIXED TWISTOR -MODULES"],"prefix":"10.1017","volume":"18","author":[{"given":"Teresa","family":"Monteiro Fernandes","sequence":"first","affiliation":[]},{"given":"Claude","family":"Sabbah","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2017,5,19]]},"reference":[{"key":"S1474748017000184_r23","volume-title":"Index Theorem for Elliptic Pairs","author":"Schapira","year":"1994"},{"key":"S1474748017000184_r22","volume-title":"Polarizable Twistor D-Modules","author":"Sabbah","year":"2005"},{"key":"S1474748017000184_r19","doi-asserted-by":"publisher","DOI":"10.4171\/RSMUP\/120-11"},{"key":"S1474748017000184_r18","first-page":"4961","article-title":"On the de Rham complex of mixed twistor D-modules","author":"Monteiro\u00a0Fernandes","year":"2013","journal-title":"Int. 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