Symmetric correspondences with decomposable minimal equation

Izadi E, Lange H (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of Algebra Elsevier

Book Volume: 590

Pages Range: 202-214

DOI: 10.1016/j.jalgebra.2021.10.012

Abstract

We study symmetric correspondences with completely decomposable minimal equation on smooth projective curves C. The Jacobian of C then decomposes correspondingly. For all positive integers g and ℓ, we give series of examples of smooth curves C of genus n^ℓ(g−1)+1 with correspondences satisfying minimal equations of degree ℓ+1 such that the Jacobian of C has at least 2^ℓ isogeny components.

Authors with CRIS profile

Herbert Lange Department Mathematik

Involved external institutions

University of California, San Diego

United States (USA) (US)

How to cite

APA:

Izadi, E., & Lange, H. (2022). Symmetric correspondences with decomposable minimal equation. Journal of Algebra, 590, 202-214. https://dx.doi.org/10.1016/j.jalgebra.2021.10.012

MLA:

Izadi, Elham, and Herbert Lange. "Symmetric correspondences with decomposable minimal equation." Journal of Algebra 590 (2022): 202-214.

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