{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T10:15:31Z","timestamp":1743156931144,"version":"3.40.3"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031645280"},{"type":"electronic","value":"9783031645297"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-64529-7_32","type":"book-chapter","created":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:21:35Z","timestamp":1721143295000},"page":"331-339","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Framework for\u00a0Generalized Tropical Homotopy Continuation"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-7722-3696","authenticated-orcid":false,"given":"Oliver","family":"Daisey","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6005-7119","authenticated-orcid":false,"given":"Yue","family":"Ren","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,7,17]]},"reference":[{"key":"32_CR1","unstructured":"Oscar - open source computer algebra research system, version 1.0 (2024), https:\/\/www.oscar-system.org"},{"key":"32_CR2","unstructured":"Ardila-Mantilla, F., Eur, C., Penaguiao, R.: The tropical critical points of an affine matroid. S\u00e9m. Lothar. Combin. 89B, Art. 28, 12 (2023)"},{"key":"32_CR3","doi-asserted-by":"crossref","unstructured":"Breiding, P., Timme, S.: HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia. In: International Congress on Mathematical Software. pp. 458\u2013465. Springer (2018)","DOI":"10.1007\/978-3-319-96418-8_54"},{"key":"32_CR4","unstructured":"Helminck, P.A., Ren, Y.: Generic root counts and flatness in tropical geometry (2022)"},{"issue":"6","key":"32_CR5","doi-asserted-by":"publisher","first-page":"1853","DOI":"10.1515\/forum-2012-0030","volume":"26","author":"S Herrmann","year":"2014","unstructured":"Herrmann, S., Joswig, M., Speyer, D.E.: Dressians, tropical Grassmannians, and their rays. Forum Math. 26(6), 1853\u20131881 (2014). https:\/\/doi.org\/10.1515\/forum-2012-0030","journal-title":"Forum Math."},{"issue":"212","key":"32_CR6","doi-asserted-by":"publisher","first-page":"1541","DOI":"10.2307\/2153370","volume":"64","author":"B Huber","year":"1995","unstructured":"Huber, B., Sturmfels, B.: A polyhedral method for solving sparse polynomial systems. Math. Comput. 64(212), 1541\u20131555 (1995). https:\/\/doi.org\/10.2307\/2153370","journal-title":"Math. Comput."},{"key":"32_CR7","unstructured":"Jensen, A.N.: Gfan, a software system for Gr\u00f6bner fans and tropical varieties. Available at http:\/\/home.imf.au.dk\/jensen\/software\/gfan\/gfan.html"},{"key":"32_CR8","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1007\/978-3-319-42432-3_25","volume-title":"Mathematical Software - ICMS 2016","author":"AN Jensen","year":"2016","unstructured":"Jensen, A.N.: An implementation of exact mixed volume computation. In: Greuel, G.M., Koch, T., Paule, P., Sommese, A. (eds.) Mathematical Software - ICMS 2016, pp. 198\u2013205. Springer International Publishing, Cham (2016)"},{"key":"32_CR9","unstructured":"Jensen, A.N.: Tropical homotopy continuation (2016)"},{"key":"32_CR10","doi-asserted-by":"publisher","unstructured":"Joswig, M.: Essentials of tropical combinatorics, Grad. Stud. Math., vol.\u00a0219. Providence, RI: American Mathematical Society (AMS) (2021). https:\/\/doi.org\/10.1090\/gsm\/219","DOI":"10.1090\/gsm\/219"},{"key":"32_CR11","doi-asserted-by":"crossref","unstructured":"Maclagan, D., Sturmfels, B.: Introduction to tropical geometry, vol.\u00a0161. Providence, RI: American Mathematical Society (AMS) (2015)","DOI":"10.1090\/gsm\/161"},{"key":"32_CR12","doi-asserted-by":"publisher","unstructured":"Olarte, J.A., Panizzut, M., Schr\u00f6ter, B.: On local Dressians of matroids. In: Algebraic and geometric combinatorics on lattice polytopes. Proceedings of the summer workshop on lattice polytopes, Osaka, Japan, July 23 \u2013 August 10, 2018, pp. 309\u2013329. Hackensack, NJ: World Scientific (2019). https:\/\/doi.org\/10.1142\/9789811200489_0020","DOI":"10.1142\/9789811200489_0020"}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2024"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-64529-7_32","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:26:05Z","timestamp":1721143565000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-64529-7_32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031645280","9783031645297"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-64529-7_32","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"17 July 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICMS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Congress on Mathematical Software","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Durham","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"United Kingdom","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 July 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 July 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icms2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/maths.dur.ac.uk\/icms2024\/ICMS2024.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}