Automorphism groups of rational elliptic surfaces

Date

2010-10-23

Author

Karayayla, Tolga

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URI

https://hdl.handle.net/11511/97026

Conference Name

Midwest Algebraic Geometry Graduate Conference, University of Wisconsin, Madison

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Department of Mathematics, Conference / Seminar

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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...
Automorphisms of Rational Elliptic Surfaces with Section Karayayla, Tolga (null; 2010-06-02)
Automorphisms of complexes of curves on odd genus nonorientable surfaces Atalan Ozan, Ferihe; Korkmaz, Mustafa; Department of Mathematics (2005) 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.

Citation Formats

T. Karayayla, “Automorphism groups of rational elliptic surfaces,” presented at the Midwest Algebraic Geometry Graduate Conference, University of Wisconsin, Madison, Wisconsin, Amerika Birleşik Devletleri, 2010, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/97026.