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https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/6376
Title: | Sufficient conditions for the existence of rational points on diagonal cubic surfaces |
Authors: | Yosuke Shimizu |
Issue Date: | 2019 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | In 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. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6376 |
Appears in Collections: | Articles to be qced |
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Sufficient conditions for the existence of rational points.pdf Restricted Access | 418.62 kB | Adobe PDF | View/Open Request a copy |
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