Free dihedral actions on abelian varieties
-
Bruno Aguiló Vidal
bruno.aguilo@ug.uchile.cl
Downloads
DOI:
https://doi.org/10.4067/S0719-06462021000200239Abstract
We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group \(G\) that contains no translations and acts freely, with \(G\) any dihedral group. This generalizes a construction given by Catanese and Demleitner for \(D_4\) in dimension three.
Keywords
R. Auffarth and G. Lucchini Arteche, “Smooth quotients of complex tori by finite groups”, Preprint (2021). arXiv:1912.05327.
F. Catanese and P. Corvaja, “Teichmüller spaces of generalized hyperelliptic manifolds”, Complex and symplectic geometry, Springer INdAM Ser. 21, Springer, Cham, 2017, pp. 39-49.
F. Catanese and A. Demleitner, “The classification of hyperelliptic threefolds”, Groups Geom. Dyn, vol. 14, no. 4, pp. 1447–1454, 2020.
F. Catanese and A. Demleitner, “Hyperelliptic threefolds with group D4, the dihedral group of order 8”, Preprint (2018), arXiv:1805.01835.
E. C. Mistretta, “Holomorphic symmetric differentials and parallelizable compact complex manifolds”, Riv. Math. Univ. Parma (N.S.), vol. 10, no. 1, pp. 187–197, 2019.
K. Uchida and H. Yoshihara, “Discontinuous groups of affine transformations of C3”. Tohoku Math. J. (2), vol. 28, no. 1, pp. 89–94, 1976.
Similar Articles
- S. Tchuiaga, M. Koivogui, F. Balibuno, V. Mbazumutima, On topological symplectic dynamical systems , CUBO, A Mathematical Journal: Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal
- Rubén A. Hidalgo, A sufficiently complicated noded Schottky group of rank three , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Yuqun Chen, Hongshan Shao, K.P. Shum, Rosso-Yamane Theorem on PBW Basis of ð‘ˆÔ›(ð´É´) , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Manuel Pinto, Nonlinear Impulsive Differential Systems , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Vadim N. Biktashev, Envelope equations for modulated non-conservative waves , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Edward L. Cohen, Calendars of the Dead-Sea-Scroll Sect , CUBO, A Mathematical Journal: Vol. 5 No. 2 (2003): CUBO, Matemática Educacional
- Fernando Cardoso, Claudio Cuevas, Georgi Vodev, Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Mohammad Farhan, Edy Tri Baskoro, Further results on the metric dimension and spectrum of graphs , CUBO, A Mathematical Journal: Vol. 28 No. 1 (2026)
- Alessandro Perotti, Regular quaternionic functions and conformal mappings , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
Downloads
