TL;DR
This paper provides explicit algebraic descriptions of Prym varieties for ramified covers of algebraic curves, exploring their connection to integrable systems and applications in Mathematical Physics.
Contribution
It introduces new algebraic descriptions of Prym varieties for ramified covers and links them to integrable systems and physical applications.
Findings
Explicit algebraic models for Prym varieties with ramification.
Connections established between Prym varieties and algebraic integrable systems.
Applications demonstrated in Mathematical Physics contexts.
Abstract
The classical definition of Prym varieties deals with the unramified covers of curves. The aim of the present paper is to give explicit algebraic descriptions of the Prym varieties associated to ramified double covers of algebraic curves. We make a careful study of the connection with the concept of algebraic completely integrable systems and we apply the methods to some problems of Mathematical Physics.
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