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Automorphism Groups of Rational Elliptic Surfaces with Section
Date
2012-05-16
Author
Karayayla, Tolga
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http://mat.msgsu.edu.tr/~aad/2012/index.shtml
https://hdl.handle.net/11511/76616
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Automorphism groups of rational elliptic surfaces with section and constant j map
Karayayla, Tolga (null; 2013-10-12)
I will present the second leg of the classification project for the automorphism groups of rational elliptic surfaces (RES) with section which concerns those RES with constant J-Map. In the first leg of this study, it was shown that the group Aut(B) of regular automorphisms (biholomorphic maps) of a relatively minimal RES B over the field C is the semi-direct product MW(B) o Autσ(B) of its Mordell-Weil group MW(B) (the group of sections) and the subgroup Autσ(B) of the automorphisms preserving the zero sect...
Automorphism groups of rational elliptic surfaces with section and constant J-map
Karayayla, Tolga (2014-12-01)
In this paper, the automorphism groups of relatively minimal rational elliptic surfaces with section which have constant J-maps are classified. The ground field is a",. The automorphism group of such a surface beta: B -> a"(TM)(1), denoted by Au t(B), consists of all biholomorphic maps on the complex manifold B. The group Au t(B) is isomorphic to the semi-direct product MW(B) a < S Aut (sigma) (B) of the Mordell-Weil groupMW(B) (the group of sections of B), and the subgroup Aut (sigma) (B) of the automorphi...
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T. Karayayla, “Automorphism Groups of Rational Elliptic Surfaces with Section,” 2012, Accessed: 00, 2021. [Online]. Available: http://mat.msgsu.edu.tr/~aad/2012/index.shtml.