Picard-Fuchs Equations, Hauptmoduls and Integrable Systems

Simple item page
dc.creatorHarnad, J.
dc.date1999-02-18
dc.date.accessioned2026-07-07T06:17:46Z
dc.date.available2026-07-07T06:17:46Z
dc.descriptionThe Schwarzian equations satisfied by certain Hauptmoduls (i.e., uniformizing functions for Riemann surfaces of genus zero) are derived from the Picard-Fuchs equations for families of elliptic curves and associated surfaces. The inhomogeneous Picard-Fuchs equations associated to elliptic integrals with varying endpoints are derived and used to determine solutions of equations that are algebraically related to a class of Painlevé VI equations.
dc.descriptionPlainTeX 15gs. Write - up of lecture given at international meeting: Integrability: Seiberg-Witten and Witham Equations, ICMS, Edinburgh, September 14-19, 1998
dc.identifierhttps://arxiv.org/abs/solv-int/9902013
dc.identifierhttp://arxiv.org/abs/solv-int/9902013
dc.identifierIntegrability: The Seiberg-Witten and Witham Equations, Chapter 8, pp. 137-152 ( Ed. H.W. Braden and I.M. Krichever, Gordon and Breach, Amsterdam (2000))
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94498
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subjectNumber Theory
dc.titlePicard-Fuchs Equations, Hauptmoduls and Integrable Systems
dc.typetext

Files

Collections

arXiv