|
|||||
 |
|
|
|
|
|
|
|
Numerical computation of
endomorphism rings of Jacobians
Nils Bruin, Jeroen Sijsling and Alexandre Zotine |
|
Vol. 2 (2019), No. 1, 155–171
|
Abstract |
|
We give practical numerical methods to compute the period matrix of a plane algebraic curve (not necessarily smooth). We show how automorphisms and isomorphisms of such curves, as well as the decomposition of their Jacobians up to isogeny, can be calculated heuristically. Particular applications include the determination of (generically) non-Galois morphisms between curves and the identification of Prym varieties. |
Keywords
curves, Riemann surfaces, period matrices, automorphisms,
endomorphisms, isogeny factors
|
Mathematical Subject Classification 2010
Primary: 14H40, 14H37, 14H55, 14Q05
|
Supplementary material |
Milestones
Received: 2 March 2018
Revised: 18 June 2018
Accepted: 10 September 2018
Published: 13 February 2019
|
Authors |
| Nils Bruin | |
| Department of Mathematics Simon Fraser University Burnaby, BC Canada |
|
| Jeroen Sijsling | |
| Institut für Reine Mathematik Universität Ulm Ulm Germany |
|
| Alexandre Zotine | |
| Department of Mathematics Simon Fraser University Burnaby, BC Canada |
|
