A Compactification of the Universal Moduli Space of Principal G-Bundles

Muñoz Castañeda, Ángel Luis

doi:10.1007/s00009-021-01954-8

Título

A Compactification of the Universal Moduli Space of Principal G-Bundles

dc.contributor	Escuela de Ingenierias Industrial e Informatica	es_ES
dc.contributor.author	Muñoz Castañeda, Ángel Luis
dc.contributor.other	Matematica Aplicada	es_ES
dc.date	2022
dc.date.accessioned	2022-05-19T12:01:16Z
dc.date.available	2022-05-19T12:01:16Z
dc.identifier.issn	1660-5446
dc.identifier.other	https://link.springer.com/article/10.1007/s00009-021-01954-8	es_ES
dc.identifier.uri	http://hdl.handle.net/10612/14762
dc.description	.	es_ES
dc.description.abstract	Let G be a semisimple linear algebraic group, ρ:G↪SL(V) a finite-dimensional faithful representation, g≥2 a natural number, and δ a positive rational number. We prove the existence of a compactification of the universal moduli space of semistable principal G-bundles over M¯¯¯¯¯g, provided that δ is sufficiently large, having the following property: the fibers over singular curves are the moduli spaces of δ-semistable singular principal G-bundles.	es_ES
dc.language	eng	es_ES
dc.publisher	Springer	es_ES
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Matemáticas	es_ES
dc.subject.other	Principal bundles	es_ES
dc.subject.other	Universal moduli	es_ES
dc.subject.other	Stable curves	es_ES
dc.title	A Compactification of the Universal Moduli Space of Principal G-Bundles	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.identifier.doi	10.1007/s00009-021-01954-8
dc.description.peerreviewed	SI	es_ES
dc.relation.projectID	MICINN under Grant no. PGC2018-099599-B-I00	es_ES
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES
dc.identifier.essn	1660-5454
dc.journal.title	Mediterranean Journal of Mathematics	es_ES
dc.volume.number	19	es_ES
dc.issue.number	2	es_ES
dc.type.hasVersion	info:eu-repo/semantics/publishedVersion	es_ES
dc.description.project	Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE

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