Biswas, Indranil ; Gadgil, Siddhartha ; Sankaran, Parameswaran (2007) On theta characteristics of a compact Riemann surface Bulletin des Sciences Mathematiques, 131 (5). pp. 493-499. ISSN 0007-4497
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...
Related URL: http://dx.doi.org/10.1016/j.bulsci.2007.02.001
Abstract
Let σ be a nontrivial automorphism of a compact connected Riemann surface X of genus at least two. Assume that s fixes each of the theta characteristics of X. We prove that X is hyperelliptic, and σ is the unique hyperelliptic involution of X.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
Keywords: | Theta characteristic; Riemann Surface; Automorphism |
ID Code: | 3475 |
Deposited On: | 18 Oct 2010 10:23 |
Last Modified: | 27 Jan 2011 11:56 |
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