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

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DOI

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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     author = {BERNATSKA, JULIA and LEYKIN, DMITRY},
     title = {ON {DEGENERATE} {SIGMA-FUNCTIONS} {IN} {GENUS} 2},
     journal = {Glasgow mathematical journal},
     pages = {169--193},
     year = {2019},
     volume = {61},
     number = {1},
     doi = {10.1017/S0017089518000162},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000162/}
}
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