Generalized Weierstrass \(\wp\)-functions and KP flows in affine space
type: Item
instance of: scholarly article
title: Generalized Weierstrass \(\wp\)-functions and KP flows in affine space
zbMATH Open document ID: 0638.14024
DOI: 10.1007/BF02564449
author: Emma Previato
published in: Commentarii Mathematici Helvetici
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/140087
review text: The Jacobian of a genus g hyperelliptic curve outside a theta divisor is explicitly isomorphic to an affine subvariety of \({\mathbb{C}}^{3g+1}\) [\textit{C. G. T. Jacobi}, J. Reine Angew. Math. 32, 220-226 (1846); cf. \textit{D. Mumford}, ``Tata lectures on theta. II: Jacobian theta functions and differential equations'', Prog. Math. 43 (1984; Zbl 0549.14014)]. This paper presents an analogous construction for general curves. The construction uses the interpretation of a generic line-bundle as a commutative ring of differential operators and is thus suited to a solution of the KP equation.
reviewed by: Emma Previato
Mathematics Subject Classification ID: 14K25
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 4040083
zbMATH Keywords: KP flows
zbMATH Keywords: Jacobian of a genus g hyperelliptic curve
zbMATH Keywords: theta divisor
zbMATH Keywords: differential operators
zbMATH Keywords: KP equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4040083