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dc.contributor.authorYosuke Shimizu-
dc.date.accessioned2024-02-27T05:57:05Z-
dc.date.available2024-02-27T05:57:05Z-
dc.date.issued2019-
dc.identifier.urihttp://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6376-
dc.description.abstractIn this paper, we construct diagonal cubic surfaces over Q which have a Q-rational point under the assumption that the Tate-Shafarevich group of elliptic curve X3 + Y3 = AZ3 is finite. We can also check that there is no Brauer-Manin obstruction for these surfaces without the finiteness assumption of the Tate-Shafarevich group.-
dc.publisherJournal of the Ramanujan Mathematical Society-
dc.titleSufficient conditions for the existence of rational points on diagonal cubic surfaces-
dc.volVol 35-
dc.issuedNo 3-
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