Displaying similar documents to “Generalized Hodge classes on the moduli space of curves.”

Field of moduli versus field of definition for cyclic covers of the projective line

Aristides Kontogeorgis (2009)

Journal de Théorie des Nombres de Bordeaux

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We give a criterion, based on the automorphism group, for certain cyclic covers of the projective line to be defined over their field of moduli. An example of a cyclic cover of the complex projective line with field of moduli that can not be defined over is also given.

Finiteness results for Teichmüller curves

Martin Möller (2008)

Annales de l’institut Fourier

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We show that for each genus there are only finitely many algebraically primitive Teichmüller curves C , such that (i) C lies in the hyperelliptic locus and (ii) C is generated by an abelian differential with two zeros of order g - 1 . We prove moreover that for these Teichmüller curves the trace field of the affine group is not only totally real but cyclotomic.

Moduli of Prym curves.

Ballico, Edoardo, Casagrande, Cincia, Fontanari, Claudio (2004)

Documenta Mathematica

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