Étale double covers of cyclic p-gonal covers

Carocca A, Lange H, Rodríguez RE (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Journal of Algebra Elsevier

Book Volume: 538

Pages Range: 110-126

DOI: 10.1016/j.jalgebra.2019.07.008

Abstract

This paper computes the Galois group of the Galois cover of the composition of an étale double cover of a cyclic p-gonal cover for any prime p. Moreover a relation between some of its Prym varieties and the Jacobian of a subcover is given. In a sense this generalizes the trigonal construction.

Authors with CRIS profile

Herbert Lange Department Mathematik

Involved external institutions

University of the Frontier / Universidad de La Frontera (UFRO) CL Chile (CL)

How to cite

APA:

Carocca, A., Lange, H., & Rodríguez, R.E. (2019). Étale double covers of cyclic p-gonal covers. Journal of Algebra, 538, 110-126. https://dx.doi.org/10.1016/j.jalgebra.2019.07.008

MLA:

Carocca, A., Herbert Lange, and Rubí E. Rodríguez. "Étale double covers of cyclic p-gonal covers." Journal of Algebra 538 (2019): 110-126.

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