{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:05:27Z","timestamp":1773252327141,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","license":[{"start":{"date-parts":[[2012,10,3]],"date-time":"2012-10-03T00:00:00Z","timestamp":1349222400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"DOI":"10.1007\/s00454-012-9458-9","type":"journal-article","created":{"date-parts":[[2012,10,2]],"date-time":"2012-10-02T09:53:51Z","timestamp":1349171631000},"source":"Crossref","is-referenced-by-count":2,"title":["Foundations for a Theory of Complex Matroids"],"prefix":"10.1007","author":[{"given":"Laura","family":"Anderson","sequence":"first","affiliation":[]},{"given":"Emanuele","family":"Delucchi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,10,3]]},"reference":[{"issue":"4","key":"9458_CR1","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1007\/PL00009401","volume":"20","author":"L. Anderson","year":"1998","unstructured":"Anderson, L.: Homotopy groups of the combinatorial Grassmannian. Discrete Comput. Geom. 20(4), 549\u2013560 (1998)","journal-title":"Discrete Comput. Geom."},{"issue":"3","key":"9458_CR2","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1006\/aama.2000.0712","volume":"26","author":"L. Anderson","year":"2001","unstructured":"Anderson, L., Davis, J.F.: There is no tame triangulation of the infinite real Grassmannian. Adv. Appl. Math. 26(3), 226\u2013236 (2001)","journal-title":"Adv. Appl. Math."},{"issue":"2","key":"9458_CR3","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/s00029-002-8104-4","volume":"8","author":"L. Anderson","year":"2002","unstructured":"Anderson, L., Davis, J.F.: Mod 2 cohomology of combinatorial Grassmannians. Sel. Math. (N. S.) 8(2), 161\u2013200 (2002)","journal-title":"Sel. Math. (N. S.)"},{"key":"9458_CR4","series-title":"Algorithms Combin","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/978-3-642-55566-4_9","volume-title":"Discrete and Computational Geometry","author":"A. Below","year":"2003","unstructured":"Below, A., Krummeck, V., Richter-Gebert, J.: Complex matroids phirotopes and their realizations in rank 2. In: Discrete and Computational Geometry. Algorithms Combin, vol. 25, pp. 203\u2013233. Springer, Berlin (2003)"},{"key":"9458_CR5","series-title":"Encyclopedia of Mathematics and Its Applications","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511586507","volume-title":"Oriented Matroids","author":"A. Bj\u00f6rner","year":"1999","unstructured":"Bj\u00f6rner, A., Las Vergnas, M., Sturmfels, B., White, N., Ziegler, G.M.: Oriented Matroids, 2nd edn. Encyclopedia of Mathematics and Its Applications, vol. 46. Cambridge University Press, Cambridge (1999)","edition":"2"},{"key":"9458_CR6","series-title":"Ann. New York Acad. Sci.","first-page":"86","volume-title":"Second International Conference on Combinatorial Mathematics (New York, 1978)","author":"R.G. Bland","year":"1979","unstructured":"Bland, R.G., Las Vergnas, M.: Minty colorings and orientations of matroids. In: Second International Conference on Combinatorial Mathematics (New York, 1978). Ann. New York Acad. Sci., vol. 319, pp. 86\u201392. New York Acad. Sci., New York (1979)"},{"key":"9458_CR7","unstructured":"Delucchi, E.: On generalizing oriented matroids to a complex setting. Diploma Thesis, ETH, Zurich (2003)"},{"key":"9458_CR8","unstructured":"Delucchi, E.: On modular elimination in matroids and oriented matroids. Preprint in preparation (2009)"},{"issue":"1","key":"9458_CR9","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/0001-8708(91)90036-7","volume":"86","author":"A. Dress","year":"1991","unstructured":"Dress, A., Wenzel, W.: Grassmann\u2013Pl\u00fccker relations and matroids with coefficients. Adv. Math. 86(1), 68\u2013110 (1991)","journal-title":"Adv. Math."},{"issue":"2","key":"9458_CR10","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0095-8956(78)90039-4","volume":"25","author":"J. Folkman","year":"1978","unstructured":"Folkman, J., Lawrence, J.: Oriented matroids. J. Comb. Theory, Ser. B 25(2), 199\u2013236 (1978)","journal-title":"J. Comb. Theory, Ser. B"},{"key":"9458_CR11","series-title":"Colloq. Math. Soc. J\u00e1nos Bolyai","first-page":"555","volume-title":"Finite and infinite sets, vols. I, II (Eger, 1981)","author":"M. Las Vergnas","year":"1984","unstructured":"Las Vergnas, M.: Oriented matroids as signed geometries real in corank\u00a02. In: Finite and infinite sets, vols. I, II (Eger, 1981). Colloq. Math. Soc. J\u00e1nos Bolyai, vol. 37, pp. 555\u2013565. North-Holland, Amsterdam (1984)"},{"key":"9458_CR12","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/0095-8956(73)90005-1","volume":"14","author":"S.B. Maurer","year":"1973","unstructured":"Maurer, S.B.: Matroid basis graphs. I. J. Comb. Theory, Ser. B 14, 216\u2013240 (1973)","journal-title":"J. Comb. Theory, Ser. B"},{"key":"9458_CR13","series-title":"Oxford Science Publications","volume-title":"Matroid Theory","author":"J.G. Oxley","year":"1992","unstructured":"Oxley, J.G.: Matroid Theory. Oxford Science Publications. The Clarendon Press Oxford University Press, New York (1992)"},{"issue":"2","key":"9458_CR14","doi-asserted-by":"crossref","first-page":"71","DOI":"10.4213\/faa3025","volume":"45","author":"G.L. Rybnikov","year":"2011","unstructured":"Rybnikov, G.L.: On the fundamental group of the complement of a complex hyperplane arrangement. Funkc. Anal. Prilozh. 45(2), 71\u201385 (2011)","journal-title":"Funkc. Anal. Prilozh."},{"issue":"3","key":"9458_CR15","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1007\/BF01391833","volume":"88","author":"M. Salvetti","year":"1987","unstructured":"Salvetti, M.: Topology of the complement of real hyperplanes in C N . Invent. Math. 88(3), 603\u2013618 (1987)","journal-title":"Invent. Math."},{"key":"9458_CR16","series-title":"Cambridge Studies in Advanced Mathematics","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511805967","volume-title":"Enumerative Combinatorics. Vol. 1","author":"R.P. Stanley","year":"1997","unstructured":"Stanley, R.P.: Enumerative Combinatorics. Vol. 1. Cambridge Studies in Advanced Mathematics, vol.\u00a049. Cambridge University Press, Cambridge (1997). With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986 original"},{"issue":"2(338)","key":"9458_CR17","doi-asserted-by":"crossref","first-page":"87","DOI":"10.4213\/rm383","volume":"56","author":"S. Yuzvinski\u012d","year":"2001","unstructured":"Yuzvinski\u012d, S.: Orlik\u2013Solomon algebras in algebra and topology. Usp. Mat. Nauk 56(2(338)), 87\u2013166 (2001)","journal-title":"Usp. Mat. Nauk"},{"issue":"3","key":"9458_CR18","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/BF02573983","volume":"10","author":"G.M. Ziegler","year":"1993","unstructured":"Ziegler, G.M.: What is a complex matroid? Discrete Comput. Geom. 10(3), 313\u2013348 (1993)","journal-title":"Discrete Comput. Geom."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-012-9458-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-012-9458-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-012-9458-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T19:50:36Z","timestamp":1559073036000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-012-9458-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,3]]},"references-count":18,"alternative-id":["9458"],"URL":"https:\/\/doi.org\/10.1007\/s00454-012-9458-9","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10,3]]}}}