2026-09-16T07:40:56Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1593532024-09-05T07:23:49Zcom_10366_4540com_10366_4512com_10366_3823col_10366_4541

Hernández Serrano, Daniel Muñoz Porras, José María Plaza Martín, Francisco José 2024-08-28T09:28:16Z 2024-08-28T09:28:16Z 2012 0129-167X http://hdl.handle.net/10366/159353 10.1142/S0129167X09005637 1793-6519 [EN]In this paper the moduli space of Higgs pairs over a fixed smooth projective curve with extra formal data is defined and is endowed with a scheme structure. We introduce a relative version of the Krichever map using a fibration of Sato Grassmannians and show that this map is injective. This, together with the characterization of the points of the image of the Krichever map, allows us to prove that this moduli space is a closed subscheme of the product of the moduli of vector bundles (with formal extra data) and a formal anologue of the Hitchin base. This characterization also provides us with a method for explicitly computing KP-type equations that describe the moduli space of Higgs pairs. Finally, for the case where the spectral cover is totally ramified at a fixed point of the curve, these equations are given in terms of the characteristic coefficients of the Higgs field. eng Higgs Pairs Spectral curve Spectral curves Infinite Grassmannians KP equations 1201.01 Geometría Algebraica 1202.12 Análisis Global Equations of the moduli of Higgs Pairs and Infinite Grassmannian info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://doi.org/10.1142/S0129167X09005637 info:eu-repo/semantics/openAccess International Journal of Mathematics 20 08 1029 1055