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...

Citation Formats

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.