Geodesic
ON DEGENERATE SIGMA-FUNCTIONS IN GENUS 2
Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 169-193

Voir la notice de l'article provenant de la source Cambridge University Press

We obtain explicit expressions for genus 2 degenerate sigma-function in terms of genus 1 sigma-function and elementary functions as solutions of a system of linear partial differential equations satisfied by the sigma-function. By way of application, we derive a solution for a class of generalized Jacobi inversion problems on elliptic curves, a family of Schrödinger-type operators on a line with common spectrum consisting of a point and two segments, explicit construction of a field of three-periodic meromorphic functions. Generators of rank 3 lattice in C2 are given explicitly. 
BERNATSKA, JULIA; LEYKIN, DMITRY. ON DEGENERATE SIGMA-FUNCTIONS IN GENUS 2. Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 169-193. doi: 10.1017/S0017089518000162
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