Prymians of real curves and their applications to the effectivization of Schrödinger operators
type: Item
instance of: scholarly article
title: Prymians of real curves and their applications to the effectivization of Schrödinger operators
zbMATH Open document ID: 0682.35027
DOI: 10.1007/BF01078571
publication date: 1989-01-01T00:00:00Z
review text: \textit{A. P. Veselov} and \textit{S. P. Novikov} [Sov. Math., Dokl. 30, 588- 591 (1984); translation from Dokl. Akad. Nauk SSSR 279, 20-24 (1984; Zbl 0613.35020); and ibid., 705-708 (1984); translation from Dokl. Akad. Nauk SSSR 279, 784-788 (1984; Zbl 0602.35024)] describe the class of real two- dimensional Schrödinger operators \[ L=\partial {\bar \partial}+2\partial {\bar \partial} \ell n \theta (zU_ 1+\bar zU_ 2- e| V)-\epsilon_ 0, \] where \(\theta\) denotes Prym's theta-function of real algebraic curve with involutions. Present paper gives the effective description of Prym's variety of real curves and special properties of holomorphical differentials on real curves.
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 4117028
zbMATH Keywords: real curves
zbMATH Keywords: Prym's theta-function
zbMATH Keywords: holomorphical differentials
author: Sergey Natanzon
MaRDI profile type: Publication
cites work: Q4720091
cites work: Q3737844
cites work: Q3882827
cites work: Q3880950
cites work: Theta functions on Riemann surfaces
cites work: Real two-zone solutions of the sine-Gordon equation
cites work: Q3808568
cites work: Q3935915
cites work: Nonsingular finite-zone two-dimensional Schrödinger operators and Prymians of real curves
cites work: On equivalences of branched coverings and their action on homology
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4117028