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Automorphisms of Rational Elliptic Surfaces with Section
Date
2010-06-02
Author
Karayayla, Tolga
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http://www.ams.org/meetings/international/2172_program_ss6.html#title
https://hdl.handle.net/11511/82523
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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...
Automorphisms of complexes of curves on odd genus nonorientable surfaces
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Let N be a connected nonorientable surface of genus g with n punctures. Suppose that g is odd and g + n > 6. We prove that the automorphism group of the complex of curves of N is isomorphic to the mapping class group M of N.
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T. Karayayla, “Automorphisms of Rational Elliptic Surfaces with Section,” 2010, Accessed: 00, 2021. [Online]. Available: http://www.ams.org/meetings/international/2172_program_ss6.html#title.