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Equivariant Forms: Structure and Geometry

Published online by Cambridge University Press:  20 November 2018

Abdelkrim Elbasraoui  and
Abdellah Sebbar
Abdelkrim Elbasraoui
Affiliation:
Centre de recherches mathématiques, Université de Montréal, Montréal, QC H3C 3J7 e-mail: elbasrao@crm.umontreal.ca CICMA, Concordia University, Montréal, QC H3G 1M8 e-mail: elbasrao@crm.umontreal.ca
Abdellah Sebbar
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5
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Abstract.

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In this paper we study the notion of equivariant forms introduced in the authors' previous works. In particular, we completely classify all the equivariant forms for a subgroup of $\text{S}{{\text{L}}_{2\left( \mathbb{Z} \right)}}$ by means of the cross-ratio, weight 2 modular forms, quasimodular forms, as well as differential forms of a Riemann surface and sections of a canonical line bundle.

Keywords

11F11equivariant formsmodular formsSchwarz derivativecross-ratiodifferential forms
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 520 - 533
Copyright
Copyright © Canadian Mathematical Society 2013

References

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