This article is cited in 2 papers

Bicentennial of C.G. Jacobi

Jacobi varieties with several polarizations and PDEs

E. Previato<sup>ab

a</sup> Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, Auravägen 17, 182 62 Djursholm, Sweden
^b Department of Mathematics and Statistics, Boston University, Boston, MA 02215-2411 USA

Abstract: Some abelian varieties admit several (principal) polarizations. The problem of which Jacobi varieties do, especially among the splittable, challenges transliteration from analysis to algebra. Questions and examples are provided, as well as applications to solution of certain Partial Differential Equations.

Keywords: Jacobi variety, projective connection, sigma function, KP hierarchy.

MSC: 14H42, 14H52, 35Q53

Received: 07.10.2005
Accepted: 16.11.2005

Language: English

DOI: 10.1070/RD2005v010n04ABEH000329

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