{"corpus_id":52442486,"paper_sha":"9d75e9752b42e728d6a7e4181e80f4ef864654a7","doi":"10.1016/j.aim.2020.107093","arxiv_id":"1801.07444","pmid":null,"pmcid":null,"mag_id":3010438952,"dblp_id":null,"acl_id":null,"title":"On irregularities of Fourier transforms of regular holonomicD-modules","year":2018,"publication_date":"2018-01-23","venue":"Advances in Mathematics","journal":{"name":"Advances in Mathematics","pages":null,"volume":null},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics"],"reference_count":68,"citation_count":9,"influential_citation_count":2,"is_open_access":false,"arxiv_categories":["math.AG"],"arxiv_license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We study Fourier transforms of regular holonomic D-modules. By using the theory of Fourier-Sato transforms of enhanced ind-sheaves developed by Kashiwara-Schapira and D'Agnolo-Kashiwara, a formula for their enhanced solution complexes will be obtained. Moreover we show that some parts of their characteristic cycles and irregularities are expressed by the geometries of the original D-modules.","claims":[{"public_id":"cl_b4e2ca26b565882ba5f9519ed4f196c4","status":"active","text":"A formula for the enhanced solution complexes of Fourier transforms of regular holonomic D-modules is obtained using Fourier-Sato transforms of enhanced ind-sheaves.","confidence":0.9,"contributors":[{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["extraction"],"url":"https://sah.borca.ai/u/ezd9qvkvax"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["review"],"url":"https://sah.borca.ai/u/322360f1c1"}],"url":"https://sah.borca.ai/claims/cl_b4e2ca26b565882ba5f9519ed4f196c4"},{"public_id":"cl_48d6d31241ff17c49464aecca29774fb","status":"active","text":"Some 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