{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,12]],"date-time":"2023-08-12T04:03:00Z","timestamp":1691812980041},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,8]]},"abstract":"<jats:p> We consider the action of the group [Formula: see text] on the smooth cubic surfaces of [Formula: see text] ([Formula: see text] an algebraically closed field of characteristic zero). We classify, in an explicit way, all the smooth cubic surfaces with nontrivial stabilizer, the corresponding stabilizers and obtain a geometric description of each group in terms of permutations of the Eckardt points, of the [Formula: see text] lines or of the [Formula: see text] tritangent planes. <\/jats:p>","DOI":"10.1142\/s0218196723500443","type":"journal-article","created":{"date-parts":[[2023,6,19]],"date-time":"2023-06-19T06:11:01Z","timestamp":1687155061000},"page":"1007-1035","source":"Crossref","is-referenced-by-count":0,"title":["Construction of symmetric cubic surfaces"],"prefix":"10.1142","volume":"33","author":[{"given":"Michela","family":"Brundu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Geosciences, Via Valerio 12\/A 34127 Trieste, Italy"}]},{"given":"Alessandro","family":"Logar","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Geosciences, Via Valerio 12\/A 34127 Trieste, Italy"}]},{"given":"Federico","family":"Polli","sequence":"additional","affiliation":[{"name":"Area Science Park, Padriciano 99 34149, Trieste, Italy"}]}],"member":"219","published-online":{"date-parts":[[2023,7,12]]},"reference":[{"key":"S0218196723500443BIB002","first-page":"137","volume":"64","author":"Bardelli F.","year":"1978","journal-title":"Atti Acad. Naz. Lincei"},{"key":"S0218196723500443BIB003","doi-asserted-by":"crossref","first-page":"2159","DOI":"10.1007\/s10623-021-00999-w","volume":"90","author":"Betten A.","year":"2022","journal-title":"Designs, Codes Cryptogr."},{"key":"S0218196723500443BIB004","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/BF01236873","volume":"3","author":"Brundu M.","year":"1998","journal-title":"Transf. Groups"},{"key":"S0218196723500443BIB005","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139084437","volume-title":"Classical Algebraic Geometry: A Modern View","author":"Dolgachev I.","year":"2012"},{"issue":"3","key":"S0218196723500443BIB006","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1070\/IM8803","volume":"83","author":"Dolgachev I.","year":"2019","journal-title":"Izv. Math"},{"key":"S0218196723500443BIB007","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3849-0","volume-title":"Algebraic Geometry","author":"Hartshorne R.","year":"1977"},{"key":"S0218196723500443BIB008","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1006\/jabr.1996.6968","volume":"192","author":"Hosoh T.","year":"1997","journal-title":"J. Algebra"},{"key":"S0218196723500443BIB010","doi-asserted-by":"crossref","first-page":"83","DOI":"10.2206\/kyushujm.63.83","volume":"63","author":"Nguyen C. T.","year":"2009","journal-title":"Kyshu J. Math."},{"issue":"2","key":"S0218196723500443BIB011","first-page":"411","volume":"75","author":"Ranestad K.","year":"2020","journal-title":"Le Matematiche"},{"key":"S0218196723500443BIB012","volume-title":"The Non-Singular Cubic Surfaces","author":"Segre B.","year":"1942"},{"key":"S0218196723500443BIB013","volume-title":"Sage Mathematics Software (Version 9.4)","author":"Stein W. A.","year":"2022"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196723500443","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T16:00:44Z","timestamp":1691769644000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196723500443"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,12]]},"references-count":11,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2023,8]]}},"alternative-id":["10.1142\/S0218196723500443"],"URL":"https:\/\/doi.org\/10.1142\/s0218196723500443","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,12]]}}}