The linear flows in the space of Krichever-Lax matrices over an algebraic curve

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dc.creatorKim, Taejung
dc.date2008-01-14
dc.date.accessioned2026-07-07T08:54:17Z
dc.date.available2026-07-07T08:54:17Z
dc.descriptionIn \cite{kri02}, I. M. Krichever invented the space of matrices parametrizing the cotangent bundle of moduli space of stable vector bundles over a compact Riemann surface, which is named as the Hitchin system after the investigation \cite{hit87}. We study a necessary and sufficient condition for the linearity of flows on the space of Krichever-Lax matrices in a Lax representation in terms of cohomological classes using the similar technique and analysis from the work \cite{grif85} by P. A. Griffiths.
dc.identifierhttps://arxiv.org/abs/0801.2012
dc.identifierhttp://arxiv.org/abs/0801.2012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145873
dc.subjectDynamical Systems
dc.subjectAlgebraic Geometry
dc.subject14F05; 14H70; 32L10; 58F07
dc.titleThe linear flows in the space of Krichever-Lax matrices over an algebraic curve
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