{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,12]],"date-time":"2025-09-12T17:51:09Z","timestamp":1757699469748,"version":"3.41.0"},"reference-count":5,"publisher":"Association for Computing Machinery (ACM)","issue":"3\/4","license":[{"start":{"date-parts":[[2015,2,5]],"date-time":"2015-02-05T00:00:00Z","timestamp":1423094400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2015,2,5]]},"abstract":"<jats:p>We present an algorithm to construct bases of twisted cohomology groups for the complement of a generic sparse polynomial over a generic local system of rank 1. The algorithm is based on the theory given in a recent preprint [1].<\/jats:p>","DOI":"10.1145\/2733693.2733705","type":"journal-article","created":{"date-parts":[[2015,2,10]],"date-time":"2015-02-10T13:19:47Z","timestamp":1423574387000},"page":"118-120","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Computing Bases of Twisted Cohomology Groups for Sparse Polynomials"],"prefix":"10.1145","volume":"48","author":[{"given":"Takayuki","family":"Hibi","sequence":"first","affiliation":[{"name":"Osaka University, Suita, Osaka, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kenta","family":"Nishiyama","sequence":"additional","affiliation":[{"name":"Kobe University, Nadaku, Kobe, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nobuki","family":"Takayama","sequence":"additional","affiliation":[{"name":"Kobe University, Nadaku, Kobe, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2015,2,5]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"T. Hibi K. Nishiyama N. Takayama Pfaffian Systems of A-Hypergeometric Equations I: Bases of Twisted Cohomology Groups arxiv:1212.6103  T. Hibi K. Nishiyama N. Takayama Pfaffian Systems of A-Hypergeometric Equations I: Bases of Twisted Cohomology Groups arxiv:1212.6103"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s13160-013-0105-5"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1006\/aama.1997.0527"},{"key":"e_1_2_1_4_1","volume-title":"MSJ Memoirs","author":"Orlik P.","year":"2001","unstructured":"P. Orlik , H. Terao , Arrangements and Hypergeometric Integrals , MSJ Memoirs vol. 9 , Mathematical Society of Japan , 2001 . P. Orlik, H. Terao, Arrangements and Hypergeometric Integrals, MSJ Memoirs vol. 9, Mathematical Society of Japan, 2001."},{"key":"e_1_2_1_5_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-04112-3","volume-title":"Gr\u00f6bner Deformations of Hypergeometric Differential Equations","author":"Saito M.","year":"2000","unstructured":"M. Saito , B. Sturmfels , N. Takayama , Gr\u00f6bner Deformations of Hypergeometric Differential Equations , Springer , 2000 . M. Saito, B. Sturmfels, N. Takayama, Gr\u00f6bner Deformations of Hypergeometric Differential Equations, Springer, 2000."}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2733693.2733705","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2733693.2733705","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T06:17:02Z","timestamp":1750227422000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2733693.2733705"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,5]]},"references-count":5,"journal-issue":{"issue":"3\/4","published-print":{"date-parts":[[2015,2,5]]}},"alternative-id":["10.1145\/2733693.2733705"],"URL":"https:\/\/doi.org\/10.1145\/2733693.2733705","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2015,2,5]]},"assertion":[{"value":"2015-02-05","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}